期刊： ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021; 15 (4)
A classical approach to constructing combinatorial designs is the group action of a t-transitive or t-homogeneous permutation group on a base block, w......
期刊： ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021; 15 (4)
Three classes of (balanced) Boolean functions with few Walsh transform values derived from bent functions, Gold functions and the product of linearize......
期刊： ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021; 15 (3)
Let F-qt be a finite field of cardinality q(t), where q is a power of a prime number p and t >= 1 is a positive integer. Firstly, a family of cycli......
期刊： ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021; 15 (4)
Combinatorial t-designs have been an important research subject for many years, as they have wide applications in coding theory, cryptography, communi......
期刊： ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021; 15 (3)
Functions with good differential-uniformity properties have important applications in coding theory and sequence design in addition to the application......
期刊： ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021; 15 (3)
Codes that simultaneously provide for low power dissipation, crosstalk avoidance, and error correction in the ultra deep submicron/nanometer VLSI fabr......
期刊： ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021; 15 (4)
In this paper, we characterize all nonbinary sequences of length n with nonlinear complexity n - 4 for n >= 9 and establish a formula on the number......
期刊： ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021; 15 (4)
Rotation symmetric bent functions are a special class of Boolean functions, and their construction is of theoretical and practical interest. In this p......
期刊： ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021; 15 (3)
In this paper, we study the condition of finding small solutions (x, y, z) = (x(0), y(0), z(0)) of the equation Bx - Ay = z. The framework is derived ......
期刊： ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021; 15 (1)
Let F-q be a finite field with character p and p not equal 3, p not equal 3 be different odd primes. In this paper, we study constacyclic codes of len......
期刊： ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021; 15 (1)
In this paper, we give some properties of the cycle decomposition of a nonlinear feedback shift register called WG-NLFSR which was presented by Mandal......
期刊： ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021; 15 (1)
Let l be a prime with l (math) 3 (mod 4) and l not equal 3, N = l(m) for m a positive integer, f = phi (N)/2 the multiplicative order of a prime p mod......
期刊： ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021; 15 (1)
We investigate a class of linear codes by choosing a proper defining set and determine their complete weight enumerators and weight enumerators. These......
期刊： ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021; 15 (1)
Let F-q be the finite field with q = p(m) elements, where p is an odd prime and m is a positive integer. Let Tr-m denote the trace function from F-q o......
期刊： ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021; 15 (1)
Bent functions have many important applications in cryptography and coding theory. This paper considers a class of p-ary functions with the Dillon exp......
