期刊： CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2021; 13 (3)
Boolean functions play an important role in coding theory and symmetric cryptography. In this paper, three classes of Boolean functions with six-value......
期刊： CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, ; ()
Bent functions are extremal combinatorial objects with several applications, such as coding theory, maximum length sequences, cryptography, the theory......
期刊： CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, ; ()
The recent FLIP cipher is an encryption scheme described by Meaux et al. at the conference EUROCRYPT 2016. It is based on a new stream cipher model ca......
期刊： CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, ; ()
A fascinating topic of combinatorics is the study of t-designs, which has a very long history. The incidence matrix of a t-design generates a linear c......
期刊： CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, ; ()
This paper is devoted to the affine-invariant ternary codes defined by Hermitian functions. We first compute the incidence matrices of the 2-designs s......
期刊： CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2021; 13 (2)
Let R = Z(4) + uZ(4) be a finite non-chain ring, where u(2) = 1. In this paper, we consider (sigma, delta)-skew quasi-cyclic codes over the ring R, wh......
期刊： CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2021; 13 (2)
Given a binary sequence, its trace representation allows us to reconstruct itself efficiently and to analyze its properties, such as the linear comple......
期刊： CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2020; 12 (6)
Let F-2m be the finite field with 2(m) elements, where m is a positive integer. Recently, Heng and Ding in (Finite Fields Appl. 56:308-331, 2019) stud......
期刊： CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2020; 12 (3)
The correlation-immune functions serve as an important metric for measuring resistance of a cryptosystem against correlation attacks. Existing literat......
期刊： CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2020; 12 (3)
Let m(1) and m(2) be two distinct positive integers with d=gcd(m1,m2) be the finite field with 2(m) elements, where m = m(1)m(2)/d. In this paper, we ......
期刊： CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2020; 12 (3)
Due to their wide applications in communications, data storage and cryptography, linear codes have received much attention in the past decades. The ob......
期刊： CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2020; 12 (3)
Matrices with low coherence have applications in compressed sensing and some other areas. In this paper, we present three deterministic constructions ......
期刊： CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2020; 12 (3)
Let m be a positive integer, r equivalent to 1 (mod 3) be a prime number, and the order of p modulo r(m) be phi(rm)3 where phi is the Euler function. ......
期刊： CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2020; 12 (3)
For quasi-synchronous (QS) frequency-hopping multiple access (FHMA) systems, relative time delay between different users can be allowed to vary in a d......
