Abstract

This paper presents a novel error detection linear feedback shift register (ED-LFSR), which can be used to realize error detection with a small hardware overhead for various applications such as error-correction codes, encryption algorithms and pseudo-random number generation. Although the traditional redundancy methods allow the incorporation of the error detection/correction capability in the original LFSRs, they suffer from a considerable amount of hardware overheads. The proposed ED-LFSR alleviates such problems by employing the parity check technique. The experimental results indicate that the proposed ED-LFSR requires an additional area of only 31.1% compared to that required by the conventional LFSR and it saves 39.1% and 31.9% of the resources compared to the corresponding utilization of the hardware and time redundancy methods.

Highlights

  • Reduction in the size of semiconductors tends to increase the number of faults in semiconductor fabrication [1,2]

  • We propose a novel error detection structure that avoid this problem, we propose a novel error detection linear feedback shift register (LFSR) structure that can detect undesirable canerrors detectwith undesirable errors with only a small hardware increase

  • ED-LFSRthe limitations of the existing redundancy methods, we propose a new error detection LFSR, which can detect errors with a small hardware overhead by employing the parity

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Summary

Introduction

Reduction in the size of semiconductors tends to increase the number of faults in semiconductor fabrication [1,2]. The linear feedback shift register (LFSR) is one of the most widely used sequential logics, which produces the linear function of its previous state [10,11,12,13,14,15,16,17,18,19,20,21]. Functionality of the previous state according to the generator polynomial and feedback signal [10,11,12,13,14,15,16,17,18,19,20,21]. LFSRs are used to perform the polynomial division for encoding error-correction codes produce pseudo-random patterns for encryption algorithms and test generations [21,22,23,24].

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