Abstract
We propose a new lightweight BCH code corrector of the random number generator such that the bitwise dependence of the output value is controllable. The proposed corrector is applicable to a lightweight environment and the degree of dependence among the output bits of the corrector is adjustable depending on the bias of the input bits. Hitherto, most correctors using a linear code are studied on the direction of reducing the bias among the output bits, where the biased input bits are independent. On the other hand, the output bits of a linear code corrector are inherently not independent even though the input bits are independent. However, there are no results dealing with the independence of the output bits. The well-known von Neumann corrector has an inefficient compression rate and the length of output bits is nondeterministic. Since the heavy cryptographic algorithms are used in the NIST’s conditioning component to reduce the bias of input bits, it is not appropriate in a lightweight environment. Thus we have concentrated on the linear code corrector and obtained the lightweight BCH code corrector with measurable dependence among the output bits as well as the bias. Moreover, we provide some simulations to examine our results.
Highlights
Random number generator (RNG) is essential in the modern cryptography system and used to generate the security parameters such as secret key, initialization vector, nonce, salt, and so on
We have collected the experimental data from the Bernoulli distribution with success probability p of each trial by using Numpy, in order to make experimental data satisfying our assumptions that the input bits are biased, independent, and stationary
We have proposed a new lightweight BCH code corrector that the bitwise dependence of the output bits is controllable
Summary
We propose a new lightweight BCH code corrector of the random number generator such that the bitwise dependence of the output value is controllable. The proposed corrector is applicable to a lightweight environment and the degree of dependence among the output bits of the corrector is adjustable depending on the bias of the input bits. Most correctors using a linear code are studied on the direction of reducing the bias among the output bits, where the biased input bits are independent. The output bits of a linear code corrector are inherently not independent even though the input bits are independent. We have concentrated on the linear code corrector and obtained the lightweight BCH code corrector with measurable dependence among the output bits as well as the bias.
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