Add to ORKGUp to a new invariant $\mu(b)$, the complete $b$-symbol weight distribution of a particular kind of two-weight irreducible cyclic codes, was recently obtained by Zhu et al. [Des. Codes Cryptogr., 90 (2022) 1113-1125]. The purpose of this paper is to simplify and generalize the results of Zhu et al., and obtain the $b$-symbol weight distributions of all one-weight and two-weight semiprimitive irreducible cyclic codes
AbstractLet Fq be the finite field with q elements, p be an odd prime co-prime to q and m⩾1 be an in...
Abstract. We prove, without assuming the Generalized Riemann Hypothesis, but with at most one except...
Abstract. We prove, without assuming the Generalized Riemann Hypothesis, but with at most one except...
Usually, it is difficult to determine the weight distribution of an irreducible cyclic code. In this...
AbstractLet m be a positive integer and q be an odd prime power. In this paper, the weight distribut...
The objectives of this paper are to survey and extend earlier results on the weight distributions of...
The construction of two or few-weight codes from trace codes over the ring Fq + uFq, where u2 = 0, w...
Recent results of the author on linear recurring sequences are used to obtain estimates for the weig...
With any fixed prime number p and positive integer N, not divisible by p, there is associated an inf...
AbstractThe aim of this paper is the classification of two-weight irreducible cyclic codes. Using Fo...
The paper is devoted to the study of the weight distribution of irreducible cyclic codes. We start f...
AbstractWe study the weight distribution of irreducible cyclic (n, k) codeswith block lengths n = n1...
AbstractWe show that the weight enumerator for the irreducible cyclic code of length fn over GF(q) i...
Let Fq be the finite field with q elements and Cn be the cyclic group of order n, where n is a pos...
Abstract. This paper is devoted to the study of the weights of binary irreducible cyclic codes. We s...
AbstractLet Fq be the finite field with q elements, p be an odd prime co-prime to q and m⩾1 be an in...
Abstract. We prove, without assuming the Generalized Riemann Hypothesis, but with at most one except...
Abstract. We prove, without assuming the Generalized Riemann Hypothesis, but with at most one except...
Usually, it is difficult to determine the weight distribution of an irreducible cyclic code. In this...
AbstractLet m be a positive integer and q be an odd prime power. In this paper, the weight distribut...
The objectives of this paper are to survey and extend earlier results on the weight distributions of...
The construction of two or few-weight codes from trace codes over the ring Fq + uFq, where u2 = 0, w...
Recent results of the author on linear recurring sequences are used to obtain estimates for the weig...
With any fixed prime number p and positive integer N, not divisible by p, there is associated an inf...
AbstractThe aim of this paper is the classification of two-weight irreducible cyclic codes. Using Fo...
The paper is devoted to the study of the weight distribution of irreducible cyclic codes. We start f...
AbstractWe study the weight distribution of irreducible cyclic (n, k) codeswith block lengths n = n1...
AbstractWe show that the weight enumerator for the irreducible cyclic code of length fn over GF(q) i...
Let Fq be the finite field with q elements and Cn be the cyclic group of order n, where n is a pos...
Abstract. This paper is devoted to the study of the weights of binary irreducible cyclic codes. We s...
AbstractLet Fq be the finite field with q elements, p be an odd prime co-prime to q and m⩾1 be an in...
Abstract. We prove, without assuming the Generalized Riemann Hypothesis, but with at most one except...
Abstract. We prove, without assuming the Generalized Riemann Hypothesis, but with at most one except...