Authenticated Encryption Mode Research Articles

A Break Of Barrier To Classical Differential Fault Attack On The Nonce-Based Authenticated Encryption Algorithm

Abstract It had always been believed that there was an inherent barrier to Differential Fault Attack (DFA) on the nonce-based authenticated encryption algorithm. At CHES 2016, Saha et al. proposed an Internal Differential Fault Attack on a parallelizable counter-mode algorithm. They induce the attack to classical DFA at the expense of one more fault injection in every encryption process. In this paper, we propose the DFA on HYENA, which is a nonce-based authenticated encryption mode for GIFT-128. Our work is the first pure classical DFA on a nonce-based authenticated encryption algorithm with only one fault injected in every decryption process. Firstly, we give the DFA on GIFT-128 with a fault injected into the 39th-round input. Based on this work, we inject a fault in the underlying GIFT-128 of a HYENA decryption process and make this decryption process still generate the correct tag and output plaintext. This makes the necessary conditions of DFA satisfied. Experiments show that at most 56 key bits of HYENA can be recovered with only a few faulty ciphertexts. In addition, our fault injection is easier to achieve than most other work about fault attack, because the injection location is relatively random and the fault type can be arbitrary. It should be noted that the left 72 key bits cannot be recovered in this way.

A weakness in OCB3 used with short nonces allowing for a break of authenticity and confidentiality

OCB3 is a mature and provably secure authenticated encryption mode of operation which allows for associated data (AEAD). This note reports a small flaw in the security proof of OCB3 that may cause a loss of security in practice, even if OCB3 is correctly implemented in a trustworthy and nonce-respecting module. The flaw is present when OCB3 is used with short nonces. It has security implications that are worse than nonce-repetition as confidentiality and authenticity are lost until the key is changed. The flaw is due to an implicit condition in the security proof and to the way OCB3 processes nonces. Different ways to fix the mode are presented.

Authenticated encryption mode with blocks skipping

Block symmetric ciphers are one of the most important components of modern information security systems. At the same time, in addition to the structure of the applied block symmetric cipher, the cryptographic strength and performance of the information protection system is largely determined by the applied encryption mode. In addition to high performance and high-quality destruction of block statistics, modern encryption modes should also protect encrypted information from occurred or intentionally introduced errors. In this paper, we have developed an encryption mode with blocks skipping and using a pseudo-random key sequence generator, which allows checking the integrity of encrypted information with accurate detection of the place where an error was introduced. In this case, the error detection accuracy is determined by the adjustable parameter of the macroblock size and can be set depending on the level of importance of the protected information. The developed encryption mode is characterized by the following key advantages: reducing the number of required encryption operations by half, while providing a high level of cryptographic quality; more effective destruction of macroblock statistics due to the use of an additional generator of pseudo-random key sequences, the impossibility of propagation of the occurred (intentionally introduced) error outside the macroblock, as well as higher values of the number of protection levels due to the possibility of classifying the initial states of the applied generators of pseudo-random key sequences. As proposed in this paper, the mode of authenticated encryption with blocks skipping can be recommended for use on mobile platforms that are demanding both in terms of the quality and reliability of the protected information and are limited in terms of computing and power resources.

Fault attacks on authenticated encryption modes for GIFT

There are several authenticated encryption modes for block cipher GIFT in the NIST lightweight cryptography standardisation process. In this study, the authors research on the fault attacks on this kind of authenticated encryption modes and mainly complete two tasks. First, the fault attack on the nonce-based authenticated encryption mode LOTUS/LOCUS is presented. At Asiacrypt2016, Dobraunig et al. showed the first fault attacks on several nonce-based authenticated encryption modes. Because LOTUS/LOCUS adopts the structure similar to XEX with secret nonce-dependent masks, their work is not applicable to LOTUS/LOCUS. A new fault attack is launched on LOTUS/LOCUS assuming that two bits can be made to reset in the fixed location during the encryption process. In this attack, neither plaintext nor ciphertext of the underlying block cipher is necessary to be known. To recover the correct key, a few hundred faulty ciphertexts are needed when transient faults are injected, while just one faulty ciphertext is sufficient for a permanent fault. Second, the Collision Fault Attack on GIFT is shown, in which 64 faulty ciphertexts are needed to recover the correct key. Based on this attack, authenticated encryption modes ESTATE_TweGIFT-128, GIFT-COFB and SUNDAE-GIFT are analysed and their keys are efficiently obtained with chosen nonce.

On the Security of Sponge-type Authenticated Encryption Modes

The sponge duplex is a popular mode of operation for constructing authenticated encryption schemes. In fact, one can assess the popularity of this mode from the fact that around 25 out of the 56 round 1 submissions to the ongoing NIST lightweight cryptography (LwC) standardization process are based on this mode. Among these, 14 sponge-type constructions are selected for the second round consisting of 32 submissions. In this paper, we generalize the duplexing interface of the duplex mode, which we call Transform-then-Permute. It encompasses Beetle as well as a new sponge-type mode SpoC (both are round 2 submissions to NIST LwC). We show a tight security bound for Transform-then-Permute based on b-bit permutation, which reduces to finding an exact estimation of the expected number of multi-chains (defined in this paper). As a corollary of our general result, authenticated encryption advantage of Beetle and SpoC is about T(D+r2r)/2b where T, D and r denotes the number of offline queries (related to time complexity of the attack), number of construction queries (related to data complexity) and rate of the construction (related to efficiency). Previously the same bound has been proved for Beetle under the limitation that T << min{2r, 2b/2} (that compels to choose larger permutation with higher rate). In the context of NIST LwC requirement, SpoC based on 192-bit permutation achieves the desired security with 64-bit rate, which is not achieved by either duplex or Beetle (as per the previous analysis).

ESTATE: A Lightweight and Low Energy Authenticated Encryption Mode

NIST has recently initiated a standardization project for efficient lightweight authenticated encryption schemes. SUNDAE, a candidate in this project, achieves optimal state size which results in low circuit overhead on top of the underlying block cipher. In addition, SUNDAE provides security in nonce-misuse scenario as well. However, in addition to the block cipher circuit, SUNDAE also requires some additional circuitry for multiplication by a primitive element. Further, it requires an additional block cipher invocation to create the starting state. In this paper, we propose a new lightweight and low energy authenticated encryption family, called ESTATE, that significantly improves the design of SUNDAE in terms of implementation costs (both hardware area and energy) and efficient processing of short messages. In particular, ESTATE does not require an additional multiplication circuit, and it reduces the number of block cipher calls by one. Moreover, it provides integrity security even under the release of unverified plaintext (or RUP) model. ESTATE is based on short-tweak tweakable block ciphers (or tBC, small ’t’ denotes short tweaks) and we instantiate it with two recently designed tBCs: TweAES and TweGIFT. We also propose a low latency variant of ESTATE, called sESTATE, that uses a round-reduced (6 rounds) variant of TweAES called TweAES-6. We provide comprehensive FPGA based hardware implementation for all the three instances. The implementation results depict that ESTATE_TweGIFT-128 (681 LUTs, 263 slices) consumes much lesser area as compared to SUNDAE_GIFT-128 (931 LUTs, 310 slices). When we moved to the AES variants, along with the area-efficiency (ESTATE_TweAES consumes 1901 LUTs, 602 slices while SUNDAE_AES-128 needs 1922 LUTs, 614 slices), we also achieve higher throughput for short messages (For 16-byte message, a throughput of 1251.10 and 945.36 Mbps for ESTATE_TweAES and SUNDAE_AES-128 respectively).

ESTATE: A Lightweight and Low Energy Authenticated Encryption Mode

ESTATE: A Lightweight and Low Energy Authenticated Encryption Mode

Minimizing Key Materials: The Even–Mansour Cipher Revisited and Its Application to Lightweight Authenticated Encryption

The Even–Mansour cipher has been widely used in block ciphers and lightweight symmetric-key ciphers because of its simple structure and strict provable security. Its research has been a hot topic in cryptography. This paper focuses on the problem to minimize the key material of the Even–Mansour cipher while its security bound remains essentially the same. We introduce four structures of the Even–Mansour cipher with a short key and derive their security by Patarin’s H-coefficients technique. These four structures are proven secure up to O˜2k/μ adversarial queries, where k is the bit length of the key material and μ is the maximal multiplicity. Then, we apply them to lightweight authenticated encryption modes and prove their security up to about minb/2,c,k−log μ-bit adversarial queries, where b is the size of the permutation and c is the capacity of the permutation. Finally, we leave it as an open problem to settle the security of the t-round iterated Even–Mansour cipher with short keys.

INT-RUP Secure Lightweight Parallel AE Modes

Owing to the growing demand for lightweight cryptographic solutions, NIST has initiated a standardization process for lightweight cryptographic algorithms. Specific to authenticated encryption (AE), the NIST draft demands that the scheme should have one primary member that has key length of 128 bits, and it should be secure for at least 250 − 1 byte queries and 2112 computations. Popular (lightweight) modes, such as OCB, OTR, CLOC, SILC, JAMBU, COFB, SAEB, Beetle, SUNDAE etc., require at least 128-bit primitives to meet the NIST criteria, as all of them are just birthday bound secure. Furthermore, most of them are sequential, and they either use a two pass mode or they do not offer any security when the adversary has access to unverified plaintext (RUP model). In this paper, we propose two new designs for lightweight AE modes, called LOCUS and LOTUS, structurally similar to OCB and OTR, respectively. These modes achieve notably higher AE security bounds with lighter primitives (only a 64-bit tweakable block cipher). Especially, they satisfy the NIST requirements: secure as long as the data complexity is less than 264 bytes and time complexity is less than 2128, even when instantiated with a primitive with 64-bit block and 128-bit key. Both these modes are fully parallelizable and provide full integrity security under the RUP model. We use TweGIFT-64[4,16,16,4] (also referred as TweGIFT-64), a tweakable variant of the GIFT block cipher, to instantiate our AE modes. TweGIFT-64-LOCUS and TweGIFT-64-LOTUS are significantly light in hardware implementation. To justify, we provide our FPGA based implementation results, which demonstrate that TweGIFT-64-LOCUS consumes only 257 slices and 690 LUTs, while TweGIFT-64-LOTUS consumes only 255 slices and 664 LUTs.

Lightweight Authenticated Encryption Mode of Operation for Tweakable Block Ciphers

The use of a small block length is a common strategy when designing lightweight (tweakable) block ciphers (TBCs), and several 64-bit primitives have been proposed. However, when such a 64-bit primitive is used for an authenticated encryption with birthday-bound security, it has only 32-bit data complexity, which is subject to practical attacks. To employ a short block length without compromising security, we propose PFB, a lightweight TBC-based authenticated encryption with associated data mode, which achieves beyond-birthday-bound security. For this purpose, we extend iCOFB, which is originally defined with a tweakable random function. Unlike iCOFB, the proposed method can be instantiated with a TBC using a fixed tweak length and can handle variable-length data. Moreover, its security bound is improved and independent of the data length; this improves the key lifetime, particularly in lightweight blocks with a small size. The proposed method also covers a broader class of feedback functions because of the generalization presented in our proof. We evaluate the concrete hardware performances of PFB, which benefits from the small block length and shows particularly good performances in threshold implementation.

New Related-Tweakey Boomerang and Rectangle Attacks on Deoxys-BC Including BDT Effect

In the CAESAR competition, Deoxys-I and Deoxys-II are two important authenticated encryption schemes submitted by Jean et al. Recently, Deoxys-II together with Ascon, ACORN, AEGIS-128, OCB and COLM have been selected as the final CAESAR portfolio. Notably, Deoxys-II is also the primary choice for the use case “Defense in depth”. However, Deoxys-I remains to be one of the third-round candidates of the CAESAR competition. Both Deoxys-I and Deoxys-II adopt Deoxys-BC-256 and Deoxys-BC-384 as their internal tweakable block ciphers.In this paper, we investigate the security of round-reduced Deoxys-BC-256/-384 and Deoxys-I against the related-tweakey boomerang and rectangle attacks with some new boomerang distinguishers. For Deoxys-BC-256, we present 10-round related-tweakey boomerang and rectangle attacks for the popular setting (|tweak|, |key|) = (128, 128), which reach one more round than the previous attacks in this setting. Moreover, an 11-round related-tweakey rectangle attack on Deoxys-BC-256 is given for the first time. We also put forward a 13-round related-tweakey boomerang attack in the popular setting (|tweak|, |key|) = (128, 256) for Deoxys-BC-384, while the previous attacks in this setting only work for 12 rounds at most. In addition, the first 14-round relatedtweakey rectangle attack on Deoxys-BC-384 is given when (|tweak| 286), that attacks one more round than before. Besides, we give the first 10-round rectangle attack on the authenticated encryption mode Deoxys-I-128-128 with one more round than before, and we also reduce the complexity of the related-tweakey rectangle attack on 12-round Deoxys-I-256-128 by a factor of 228. Our attacks can not be applied to (round-reduced) Deoxys-II.

New Related-Tweakey Boomerang and Rectangle Attacks on Deoxys-BC Including BDT Effect

In the CAESAR competition, Deoxys-I and Deoxys-II are two important authenticated encryption schemes submitted by Jean et al. Recently, Deoxys-II together with Ascon, ACORN, AEGIS-128, OCB and COLM have been selected as the final CAESAR portfolio. Notably, Deoxys-II is also the primary choice for the use case “Defense in depth”. However, Deoxys-I remains to be one of the third-round candidates of the CAESAR competition. Both Deoxys-I and Deoxys-II adopt Deoxys-BC-256 and Deoxys-BC-384 as their internal tweakable block ciphers.In this paper, we investigate the security of round-reduced Deoxys-BC-256/-384 and Deoxys-I against the related-tweakey boomerang and rectangle attacks with some new boomerang distinguishers. For Deoxys-BC-256, we present 10-round related-tweakey boomerang and rectangle attacks for the popular setting (|tweak|, |key|) = (128, 128), which reach one more round than the previous attacks in this setting. Moreover, an 11-round related-tweakey rectangle attack on Deoxys-BC-256 is given for the first time. We also put forward a 13-round related-tweakey boomerang attack in the popular setting (|tweak|, |key|) = (128, 256) for Deoxys-BC-384, while the previous attacks in this setting only work for 12 rounds at most. In addition, the first 14-round relatedtweakey rectangle attack on Deoxys-BC-384 is given when (|tweak| < 98, |key| > 286), that attacks one more round than before. Besides, we give the first 10-round rectangle attack on the authenticated encryption mode Deoxys-I-128-128 with one more round than before, and we also reduce the complexity of the related-tweakey rectangle attack on 12-round Deoxys-I-256-128 by a factor of 228. Our attacks can not be applied to (round-reduced) Deoxys-II.

Blockcipher-Based Authenticated Encryption: How Small Can We Go?

This paper presents a lightweight blockcipher-based authenticated encryption mode mainly focusing on minimizing the implementation size, i.e., hardware gates or working memory on software. The mode is called $$\textsf {COFB}$$, for COmbined FeedBack. $$\textsf {COFB}$$ uses an n-bit blockcipher as the underlying primitive and relies on the use of a nonce for security. In addition to the state required for executing the underlying blockcipher, $$\textsf {COFB}$$ needs only n / 2 bits state as a mask. Till date, for all existing constructions in which masks have been applied, at least n bit masks have been used. Thus, we have shown the possibility of reducing the size of a mask without degrading the security level much. Moreover, it requires one blockcipher call to process one input block. We show $$\textsf {COFB}$$ is provably secure up to $$O(2^{n/2}/n)$$ queries which is almost up to the standard birthday bound. We first present an idealized mode $$\textsf {iCOFB}$$ along with the details of its provable security analysis. Next, we extend the construction to the practical mode COFB. We instantiate COFB with two 128-bit blockciphers, AES-128 and GIFT-128, and present their implementation results on FPGAs. We present two implementations, with and without CAESAR hardware API. When instantiated with AES-128 and implemented without CAESAR hardware API, COFB achieves only a few more than 1000 Look-Up-Tables (LUTs) while maintaining almost the same level of provable security as standard AES-based AE, such as GCM. When instantiated with GIFT-128, COFB performs much better in hardware area. It consumes less than 1000 LUTs while maintaining the same security level. However, when implemented with CAESAR hardware API, there are significant overheads both in hardware area and in throughput. COFB with AES-128 achieves about 1475 LUTs. COFB with GIFT-128 achieves a few more than 1000 LUTs. Though there are overheads, still both these figures show competitive implementation results compared to other authenticated encryption constructions.

Generalized Tweakable Even-Mansour Cipher and Its Applications

This paper describes a generalized tweakable blockcipher HPH (Hash-Permutation-Hash), which is based on a public random permutation P and a family of almost-XOR-universal hash functions $$ \mathcal{H}={\left\{ HK\right\}}_{K\in \mathcal{K}} $$ as a tweak and key schedule, and defined as y = HPHK((t1, t2), x) = P(x ⊕ HK(t1)) ⊕ HK(t2), where K is a key randomly chosen from a key space $$ \mathcal{K} $$ , (t1, t2) is a tweak chosen from a valid tweak space $$ \mathcal{T} $$ , x is a plaintext, and y is a ciphertext. We prove that HPH is a secure strong tweakable pseudorandom permutation (STPRP) by using H-coefficients technique. Then we focus on the security of HPH against multi-key and related-key attacks. We prove that HPH achieves both multi-key STPRP security and related-key STPRP security. HPH can be extended to wide applications. It can be directly applied to authentication and authenticated encryption modes. We apply HPH to PMAC1 and OPP, provide an improved authentication mode HPMAC and a new authenticated encryption mode OPH, and prove that the two modes achieve single-key security, multi-key security, and related-key security.

SUNDAE: Small Universal Deterministic Authenticated Encryption for the Internet of Things

Lightweight cryptography was developed in response to the increasing need to secure devices for the Internet of Things. After significant research effort, many new block ciphers have been designed targeting lightweight settings, optimizing efficiency metrics which conventional block ciphers did not. However, block ciphers must be used in modes of operation to achieve more advanced security goals such as data confidentiality and authenticity, a research area given relatively little attention in the lightweight setting. We introduce a new authenticated encryption (AE) mode of operation, SUNDAE, specially targeted for constrained environments. SUNDAE is smaller than other known lightweight modes in implementation area, such as CLOC, JAMBU, and COFB, however unlike these modes, SUNDAE is designed as a deterministic authenticated encryption (DAE) scheme, meaning it provides maximal security in settings where proper randomness is hard to generate, or secure storage must be minimized due to expense. Unlike other DAE schemes, such as GCM-SIV, SUNDAE can be implemented efficiently on both constrained devices, as well as the servers communicating with those devices. We prove SUNDAE secure relative to its underlying block cipher, and provide an extensive implementation study, with results in both software and hardware, demonstrating that SUNDAE offers improved compactness and power consumption in hardware compared to other lightweight AE modes, while simultaneously offering comparable performance to GCM-SIV on parallel high-end platforms.

Beyond Conventional Security in Sponge-Based Authenticated Encryption Modes

The Sponge function is known to achieve 2^{c/2} security, where c is its capacity. This bound was carried over to its keyed variants, such as SpongeWrap, to achieve a min {2^{c/2},2^kappa } security bound, with kappa the key length. Similarly, many CAESAR competition submissions were designed to comply with the classical 2^{c/2} security bound. We show that Sponge-based constructions for authenticated encryption can achieve the significantly higher bound of min {2^{b/2},2^c,2^kappa }, with b>c the permutation size, by proving that the CAESAR submission NORX achieves this bound. The proof relies on rigorous computation of multi-collision probabilities, which may be of independent interest. We additionally derive a generic attack based on multi-collisions that matches the bound. We show how to apply the proof to five other Sponge-based CAESAR submissions: Ascon, CBEAM/STRIBOB, ICEPOLE, Keyak, and two out of the three PRIMATEs. A direct application of the result shows that the parameter choices of some of these submissions are overly conservative. Simple tweaks render the schemes considerably more efficient without sacrificing security. We finally consider the remaining one of the three PRIMATEs, APE, and derive a blockwise adaptive attack in the nonce-respecting setting with complexity 2^{c/2}, therewith demonstrating that the techniques cannot be applied to APE.

Efficient beyond-birthday-bound secure authenticated encryption modes

Efficient beyond-birthday-bound secure authenticated encryption modes

A fundamental flaw in the ++AE authenticated encryption mode

Abstract In this article, we analyse a block cipher mode of operation for authenticated encryption known as ++AE (plus-plus-AE). We show that this mode has a fundamental flaw: the scheme does not verify the most significant bit of any block in the plaintext message. This flaw can be exploited by choosing a plaintext message and then constructing multiple forged messages in which the most significant bit of certain blocks is flipped. All of these plaintext messages will generate the same authentication tag. This forgery attack is deterministic and guaranteed to pass the ++AE integrity check. The success of the attack is independent of the underlying block cipher, key or public message number. We outline the mathematical proofs for the flaw in the ++AE algorithm. We conclude that ++AE is insecure as an authenticated encryption mode of operation.

A Survey on Authenticated Encryption--ASIC Designer’s Perspective

Authenticated encryption (AE) has been a vital operation in cryptography due to its ability to provide confidentiality, integrity, and authenticity at the same time. Its use has soared in parallel with widespread use of the internet and has led to several new schemes. There have been studies investigating software performance of various schemes. However, the same is yet to be done for hardware. We present a comprehensive survey of hardware (specifically ASIC) performance of the most commonly used AE schemes in the literature. These schemes include encrypt-then-MAC combination, block-cipher-based AE modes, and the recently introduced permutation-based AE scheme. For completeness, we implemented each scheme with various standardized block ciphers and/or hash algorithms, and their lightweight versions. Our evaluation targets minimizing the time-area product while maximizing the throughput on an ASIC platform. We used 45nm NANGATE Open Cell Library for syntheses. We present area, speed, time-area product, throughput, and power figures for both standard and lightweight versions of each scheme. We also provide an unbiased discussion on the impact of the structure and complexity of each scheme on hardware implementation. Our results reveal 13%--30% performance boost in permutation-based AE compared to conventional schemes, and they can be used as a benchmark in the ongoing AE competition CAESAR.

A Security Analysis of Deoxys and its Internal Tweakable Block Ciphers

In this article, we provide the first independent security analysis of Deoxys, a third-round authenticated encryption candidate of the CAESAR competition, and its internal tweakable block ciphers Deoxys-BC-256 and Deoxys-BC-384. We show that the related-tweakey differential bounds provided by the designers can be greatly improved thanks to a Mixed Integer Linear Programming (MILP) based search tool. In particular, we develop a new method to incorporate linear incompatibility in the MILP model. We use this tool to generate valid differential paths for reduced-round versions of Deoxys-BC-256 and Deoxys-BC-384, later combining them into broader boomerang or rectangle attacks. Here, we also develop a new MILP model which optimises the two paths by taking into account the effect of the ladder switch technique. Interestingly, with the tweak in Deoxys-BC providing extra input as opposed to a classical block cipher, we can even consider beyond full-codebook attacks. As these primitives are based on the TWEAKEY framework, we further study how the security of the cipher is impacted when playing with the tweak/key sizes. All in all, we are able to attack 10 rounds of Deoxys-BC-256 (out of 14) and 13 rounds of Deoxys-BC-384 (out of 16). The extra rounds specified in Deoxys-BC to balance the tweak input (when compared to AES) seem to provide about the same security margin as AES-128. Finally we analyse why the authenticated encryption modes of Deoxys mostly prevent our attacks on Deoxys-BC to apply to the authenticated encryption primitive.