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Practical construction of ring LFSRs and ring FCSRs with low diffusion delay for hardware cryptographic applications. (English) Zbl 1362.14028
The article proposes a method for building LFSR (Linear Feedback Shift Register) and FCSR (Feedback with Carry Shift Register) used in cryptographic applications, with higher performance criteria. The authors use a small generalized definition – Ring LFSR and Ring FCSR – and improve the diffusion delay (that is the diameter of the digraph which defines the shift register), from exactly \(n-1\) in [F. Arnault et al., Cryptogr. Commun. 3, No. 2, 109–139 (2011; Zbl 1251.94019)], to maximum \(\lceil\sqrt{n}\rceil+6\), where \(n\) is the size (number of flip-flops) of these registers. The construction of the presented FCSR Ring can resist – using an adequate nonlinear choice of the feedback function – to the usual attack against stream ciphers (LFSRization).
Section 3.3 presents some interesting examples for improving the stream ciphers F-FCSR-H v3 (diffusion delay is reduced from 27 to 16) and F-FCSR-16 v3 (diffusion delay reduced from 27 to 19) respectively.

14G50 Applications to coding theory and cryptography of arithmetic geometry
94A55 Shift register sequences and sequences over finite alphabets in information and communication theory
Full Text: DOI
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