Correlation-immunity is an important concept in cryptology. In ref. [1] Siegenthaler introduced the mathematical definition of correlation-immunity and used the correlation-immunity order of logic functions as a measu...Correlation-immunity is an important concept in cryptology. In ref. [1] Siegenthaler introduced the mathematical definition of correlation-immunity and used the correlation-immunity order of logic functions as a measure for cipher systems to defend against correlation attacks. In terms of Walsh transform, the correlation immunity of binary-valued logic functions, i.e. Boolean functions, was studied in ref. [2], and a展开更多
A large class of linear structural functions(LSF) satisfying the condition of correlational immunity of order one are constructed by studying the linear structural Boolean functions. With these new founded functions, ...A large class of linear structural functions(LSF) satisfying the condition of correlational immunity of order one are constructed by studying the linear structural Boolean functions. With these new founded functions, the known enumeration bounds of correlation-immune functions of order one are greatly improved. In fact, the best, up to now, lower bound is found.展开更多
A class of plateaued functions has been got by using the Maiorana-McFarland construction. A variety of desirable criteria for functions with cryptographic application eouht be satisfied： balancedness, high nonlineari...A class of plateaued functions has been got by using the Maiorana-McFarland construction. A variety of desirable criteria for functions with cryptographic application eouht be satisfied： balancedness, high nonlinearity, correlation immunity of reasonably high order, strict avalanche criterion, non-existence of non-zero linear struetures, good glnbal avalanche characteristics, etc.展开更多
Bastd on the relationship between nonlinearity and resiliency of amulti-output function, we present a method for constructing noninterseeling linear codes frompacking design. Through these linear codes, we obtain n-va...Bastd on the relationship between nonlinearity and resiliency of amulti-output function, we present a method for constructing noninterseeling linear codes frompacking design. Through these linear codes, we obtain n-variable, m-output, t-resilient functionswith very high nonlinearity. Their nonlinearities are currently the best results for most of cases.展开更多
Considering connections of characteristics,this paper is aimed at the construction of optimized Boolean functions.A new method based on the Bent function,dis-crete Walsh spectrum and characteristics matrices are pre-s...Considering connections of characteristics,this paper is aimed at the construction of optimized Boolean functions.A new method based on the Bent function,dis-crete Walsh spectrum and characteristics matrices are pre-sented by concatenating,breaking,and revising output se-quences conditionally.This new construction can be used to construct different kinds of functions satisfying different design criteria.展开更多
基金Project supported by the National Natural Science FoundationDoctoral Programme Foundation of Institutions of Higher Education
文摘Correlation-immunity is an important concept in cryptology. In ref. [1] Siegenthaler introduced the mathematical definition of correlation-immunity and used the correlation-immunity order of logic functions as a measure for cipher systems to defend against correlation attacks. In terms of Walsh transform, the correlation immunity of binary-valued logic functions, i.e. Boolean functions, was studied in ref. [2], and a
文摘A large class of linear structural functions(LSF) satisfying the condition of correlational immunity of order one are constructed by studying the linear structural Boolean functions. With these new founded functions, the known enumeration bounds of correlation-immune functions of order one are greatly improved. In fact, the best, up to now, lower bound is found.
基金the National Natural Science Foundation of China，Foundation of National Laboratory for Modern Communications
文摘A class of plateaued functions has been got by using the Maiorana-McFarland construction. A variety of desirable criteria for functions with cryptographic application eouht be satisfied： balancedness, high nonlinearity, correlation immunity of reasonably high order, strict avalanche criterion, non-existence of non-zero linear struetures, good glnbal avalanche characteristics, etc.
文摘Bastd on the relationship between nonlinearity and resiliency of amulti-output function, we present a method for constructing noninterseeling linear codes frompacking design. Through these linear codes, we obtain n-variable, m-output, t-resilient functionswith very high nonlinearity. Their nonlinearities are currently the best results for most of cases.
文摘Considering connections of characteristics,this paper is aimed at the construction of optimized Boolean functions.A new method based on the Bent function,dis-crete Walsh spectrum and characteristics matrices are pre-sented by concatenating,breaking,and revising output se-quences conditionally.This new construction can be used to construct different kinds of functions satisfying different design criteria.
