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Two classes of two-weight linear codes

WebJul 6, 2024 · Furthermore, two new classes of projective two-weight codes are obtained, and then two new classes of strongly regular graphs are given. Discover the world's research … WebAug 1, 2024 · The parameters and weight distributions of the binary linear codes C D ( a, b) were settled in Theorem 2. All of these codes are 3-weight or 4-weight codes. •. The …

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WebDec 1, 2024 · Linear codes with few weights have applications in secret sharing, authentication codes, association schemes, data storage systems, strongly regular … WebApr 15, 2024 · 本文所整理的技巧与以前整理过10个Pandas的常用技巧不同，你可能并不会经常的使用它，但是有时候当你遇到一些非常棘手的问题时，这些技巧可以帮你快速解决一些不常见的问题。1、Categorical类型默认情况下，具有有限数量选项的列都会被分配object类型 … ninebark boldly go australian shepherd https://minimalobjective.com

Two new classes of projective two-weight linear codes

WebNov 1, 2024 · The purpose of this paper is to study the complete weight enumerators of linear codes C D c of (1) with the defining set D c = { x ∈ F q ∗: Tr ( a x p k + 1) = c }, where k is a positive integer, a ∈ F q ∗ and c ∈ F p. Let d = gcd ( k, e) be the greatest common divisor of integers k and e. WebDec 23, 2015 · Recently, linear codes with few weights have been constructed and extensively studied. In this paper, for an odd prime p, we determined the complete weight enumerator of two classes of p-ary linear codes constructed from defining set. Results show that the codes are at almost seven-weight linear codes and they may have applications in … WebSep 22, 2024 · The Linear class implements a gradient descent on the cost passed as an ... Code a Gaussian projection function and experiment. Is it better to have a lot of points or few points for ... (handwritten numbers - choosing only two classes among the 10). We observe the value of the weights. - On some examples of 2-class problems (6 vs ... nine bar coffee

Several classes of linear codes and their weight distributions

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Two classes of two-weight linear codes

Two new classes of projective two-weight linear codes

WebConclusions. In this paper, for any odd prime p, we construct several classes of two-weight linear codes over F p from defining sets, and then obtain two classes of projective two …

Two classes of two-weight linear codes

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WebMay 19, 2024 · Ding K, Ding C. A class of two-weight and three-weight codes and their applications in secret sharing. IEEE Trans Inform Theor, 2015, 61: 5835–5842. Article … WebIn this letter, a class of binary linear codes with two weights is presented. The weight distribution of this class of binary linear codes is settled. The dual codes are also studied …

WebJul 6, 2024 · These codes can be suitable for applications in secret sharing schemes. Furthermore, two new classes of projective two-weight codes are obtained, and then two … WebNov 23, 2024 · In this paper, a class of q-ary linear codes with few weights are presented and their weight distributions are determined using Gauss periods. Some of the linear codes obtained are optimal or almost optimal with respect to the Griesmer bound. As s applications, these linear codes can be used to construct secret sharing schemes with …

WebIn this paper, several classes of two-weight or three-weight linear codes over $$ {{\mathbb {F}}}_p$$ F p from quadratic or non-quadratic functions are constructed and their weight distributions are determined. From the constructed codes, we obtain some optimal linear codes with respect to the Singleton bound and the Griesmer bound. WebMar 15, 2024 · Linear codes with few weights have applications in data storage systems, secret sharing schemes, and authentication codes. In this paper, a class of p-ary two …

WebAug 29, 2024 · Hence, the construction of linear codes with a few weights is an important research topic in coding theory. In this paper, we construct two new classes of linear …

WebIn this paper, several classes of two-weight or three-weight linear codes over $$ {{\mathbb {F}}}_p$$ F p from quadratic or non-quadratic functions are constructed and their weight … nine bar chinatownWebAug 27, 2015 · Abstract: In this paper, a class of two-weight and three-weight linear codes over GF(p) is constructed, and their application in secret sharing is investigated. Some of the linear codes obtained are optimal in the sense that they meet certain bounds on linear codes. These codes have applications also in authentication codes, association schemes, … nine bargain blockWebMay 24, 2024 · Abstract. In this paper, several classes of two-weight or three-weight linear codes over { {\mathbb {F}}}_p from quadratic or non-quadratic functions are constructed … nuclear generating stations in canadaWebJul 1, 2024 · Weight distributions of two classes of linear codes with five or six weights ☆ 1. Introduction. Let p be an odd prime and q = p e for a positive integer e. Let F q denote the … nuclear generation by countryWebIn this paper, let $ q $ be a power of a prime, we construct several classes of new projective three-weight or four-weight linear codes over $ \mathbb{F}_q $ from the defining sets … nuclear generation superpowerWebTwo-weight linear codes have many wide applications in authentication codes, association schemes, strongly regular graphs, and secret sharing schemes. In this paper, we present … nuclear generation 4WebDec 31, 2024 · In this paper, for any odd prime $ p $ and an integer $ m\ge 3 $, several classes of linear codes with $ t $-weight $ (t = 3,5,7) $ are obtained based on some defining sets, and then their complete weight enumerators are determined explicitly by employing Gauss sums and quadratic character sums. Especially for $ m = 3 $, a class of MDS … nuclear genetics