Two classes of two-weight linear codes

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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 … WebAug 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, …

Two new classes of projective two-weight linear codes DeepAI

WebMar 18, 2024 · This paper determines the weight distributions of a class of linear codes derived from the dual of some extended cyclic codes and obtains infinite families of 2‐designs and explicitly compute their parameters from the supports of all the codewords with a fixed weight in the codes. 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 … standared setting of a youtube channel

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WebNov 25, 2024 · Minimal linear codes form a special class of linear codes that have important applications in secret sharing and secure two-party computation. ... Several classes of p-ary linear codes with two or three weights are constructed from quadratic Bent functions over the finite field Fp, where p is an odd prime. Expand. 153. PDF. WebDec 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 … WebAug 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 … standar homes in mexico

Two new classes of projective two-weight linear codes

Two classes of two-weight linear codes - ScienceDirect

WebIn 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 construction, ... Two classes of two-weight linear codes, Finite Fields Appl., 38 (2016), 72-92. doi: 10.1016/j.ffa.2015. ... WebTwo-weight linear codes have many wide applications in authentication codes, association schemes, strongly regular graphs, and secret sharing schemes. In this paper, we present … personalized nutrition factsWebDec 1, 2024 · Linear codes with few weights have applications in data storage systems, secret sharing schemes and authentication codes. In this paper, inspired by the butterfly structure [6], [29] and the works of Li, Yue and Fu [21] and Jian, Lin and Feng [19], we introduce a new defining set with the form of the closed butterfly structure and … standar grounding puil

"WebDec 9, 2024 · 12/09/20 - In this paper, based on the theory of defining sets, a class of four-weight or five-weight linear codes over Fp is constructed. Th... 12/09/20 - In this paper, based on the theory of defining sets, ... Weight Distributions of Two Classes of Linear Codes with Five or Six Weights In this paper, ... " - Two classes of two-weight linear codes

Two classes of two-weight linear codes

Several classes of new projective three-weight or four-weight …

WebMar 22, 2015 · A class of two-weight and three-weight linear codes over GF(p) is constructed, and their application in secret sharing is investigated, and some of the linear codes obtained are optimal in the sense that they meet certain bounds on linear codes. In this paper, a class of two-weight and three-weight linear codes over GF(p) is constructed, … 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 …

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WebAug 1, 2016 · A construction of several classes of two-weight and three-weight linear codes Abstract. Linear codes constructed from defining sets have been extensively studied and … WebAug 31, 2024 · The values of two classes of Gaussian periods in index 2 case and weight distributions of linear codes Fengwei Li 1,2 , , Qin Yue 3 , and

WebMar 1, 2016 · Request PDF Two classes of two-weight linear codes Two-weight linear codes have many wide applications in authentication codes, association schemes, … 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.

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 … 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 …

WebDec 1, 2024 · Linear codes with few weights have applications in secret sharing, authentication codes, association schemes, data storage systems, strongly regular …

personalized nutrition plan freeWebNov 6, 2016 · In this paper, we mainly determine the weight distributions of three classes of linear codes. Firstly, we prove that two classes of ternary linear codes from the following two planar functions have two or three weights: f (x) = x 3 k + 1 2, x ∈ F 3 m, where k, m are odd, gcd (m, k) = 1, and f (x) = x 3 k + 1, x ∈ F 3 m, where m gcd (m, k ... personalized nutcracker christmas ornamentsWebthey can produce linear codes with few weights. Hence some two-to-one functions in [22] and two newly constructed two-to-one polynomials are considered. As a result, we obtain many classes of 1-weight (a.k.a constant-weight), 3-weight, 5-weight binary linear codes by the two generic constructions. For the second personalized nutrition คือWebSep 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 ... personalized obituaryWebDec 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 … personalized nylon backpacksWebNov 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 … personalized occupation ornamentsWebIn 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 … personalized oakland a\\u0027s jersey