Two classes of two-weight linear codes
WebNov 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 ... 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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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, ... WebMain Menu > Results > Linear codes > Two-weight codes. Columns description: (1) Parameters of the code (2) Far from Griesmer bound (the optimals are denoted by *) (3) Weight enumerator (4) The number of nonequivalence codes (5) The number of projective self-dual codes (6) Aut
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 … 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 …
WebDec 1, 2024 · Linear codes with few weights have applications in secret sharing, authentication codes, association schemes, data storage systems, strongly regular … WebOct 1, 2024 · Abstract: In this article, we consider two classes of -ary linear codes.This article is a generalization of the recent construction methods given by Jian, Lin and Feng …
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 …
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 credit union plain city ohioWebApr 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 … buck lodge middle school esolWebNov 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. credit union place summerside pei membershipWebAug 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 … credit union plus routing numberWebDec 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 … buck lodge middle schoolWebAug 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, … credit union plus bay cityWebAug 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 … buck lodge maryland