Jinyong Shan

More Balanced Boolean Functions With Optimal Algebraic Immunity and Good Nonlinearity and Resistance to Fast Algebraic Attacks

In this paper, three constructions of balanced Boolean functions with optimal algebraic immunity are proposed. It is checked that, at least for small numbers of input variables, these functions have good behavior against fast algebraic attacks as well. Other cryptographic properties such as algebraic degree and nonlinearity of the constructed functions are also analyzed. Lower bounds on the nonlinearity are proved, which are similar to the best bounds obtained for known Boolean functions resisting algebraic attacks and fast algebraic attacks. Moreover, it is checked that for the number n of variables with 5 ≤ n ≤ 19, the proposed n-variable Boolean functions have in fact very good nonlinearity.

A triple-error-correcting cyclic code from the Gold and Kasami-Welch APN power functions

Based on a sufficient condition proposed by Hollmann and Xiang for constructing triple-error-correcting codes, the minimum distance of a binary cyclic code

Two constructions of balanced Boolean functions with optimal algebraic immunity, high nonlinearity and good behavior against fast algebraic attacks

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Improved Differential Analysis of Block Cipher PRIDE

with three zeros

Extending the Applicability of the Mixed-Integer Programming Technique in Automatic Differential Cryptanalysis

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Tighter Security Bound of MIBS Block Cipher against Differential Attack

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Improvement on the Method for Automatic Differential Analysis and Its Application to Two Lightweight Block Ciphers DESL and LBlock-s

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A Construction of 1-Resilient Boolean Functions with Good Cryptographic Properties

, and

Security of LBlock-s against related-key differential attack

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Cryptographic properties of nested functions and algebraic immunity of the Boolean function in Hitag2 stream cipher

of length