2024 Generalized hamming weights for linear codes

Generalized hamming weights for linear codes

Author: wcnf

August undefined, 2024

WebJul 1, 2024 · The rth relative generalised Hamming weight (RGHW) of an linear code C … WebGeneralized Deep 3D Shape Prior via Part-Discretized Diffusion Process Yuhan Li · Yishun Dou · Xuanhong Chen · Bingbing Ni · Yilin Sun · Yutian Liu · Fuzhen Wang Consistent View Synthesis with Pose-Guided Diffusion Models

Generalized hamming weights of linear codes from cryptographic …

WebMotivated by cryptographical applications, the algebraic structure, of linear codes from a new perspective is studied. By viewing the minimum Hamming weight as a certain minimum property of one-dimensional subcodes, a generalized notion of higher-dimensional Hamming weights is obtained. WebGeneralized Hamming weights of linear codes. Abstract: The generalized Hamming … tecan 30000631

Generalized Hamming weights of linear codes - IEEE Xplore

Web9.Generalized Hamming Weights for [n,2] linear codes over F_q关于q元[n,2]线性码的广义汉明重量谱 10.The Wangma Computer Company was named for the Wubi font, the coding method of Chinese characters invented by the famous computer expert - Yongmin Wang.王码电脑公司是由著名电脑专家王永民发明的汉字编码法 ... WebThe rth generalized Hamming weight of a linear code is the minimum support size of … WebGeneralized Hamming weights for linear codes Abstract: Motivated by cryptographical … spa party gold coast

Generalized Hamming weights for linear codes - IEEE Xplore

A geometric approach to rank metric codes and a classification of ...

WebOct 10, 2024 · The study of generalized Hamming weights of several evaluation codes has paved the way for a lot of research articles such as [1, 5, 6] among others. Before we proceed further, we recall the definition of generalized Hamming weights of linear codes. Definition 4.1. Fix positive integers n and k. (a) Let W be a linear subspace of \({\mathbb … WebThis triple repetition code is a Hamming code with m = 2, since there are two parity bits, and 2 2 − 2 − 1 = 1 data bit. Such codes cannot correctly repair all errors, however. In our example, if the channel flips two bits and the receiver gets 001, the system will detect the error, but conclude that the original bit is 0, which is incorrect. tecan 30038616WebA survey of results on generalized Hamming weights for linear codes ... 摘要： Motivated by cryptographical applications, the algebraic structure, of linear codes from a new perspective is studied. By viewing the minimum Hamming weight as a certain minimum property of one-dim... tecan 30122300

"WebA class of linear codes with good parameters from algebraic curves Xing, Chaoping; Ling, San 2000 Xing, C., & Ling, S. (2000). A class of linear codes with good parameters from algebraic ... “The second and third generalized Ham-ming weights of Hermitian codes,” IEEE Trans. Inform. Theory, vol. 45, pp. 709–712, Mar. 1999. " - Generalized hamming weights for linear codes

Generalized hamming weights for linear codes

Generalized hamming weights of linear codes from …

WebAug 1, 1997 · The definition of generalized Hamming weights (GHW) for linear codes … WebOct 9, 2024 · The generalized Hamming weights (GHWs) of a linear code are …

Did you know?

WebThe generalized Hamming weights of linear codes have attracted scholars' attention since Wei used them to characterize the cryptography performance of a linear code over the wire-tap channel of type II in 1991. Generally speaking, it is hard to determine linear codes' generalized Hamming weights, especially the weight hierarchy. ... Web摘要： Motivated by cryptographical applications, the algebraic structure, of linear codes …

WebJul 1, 2001 · In 1991, Feng, Tzeng, and Wei proved that the second generalized … WebMar 31, 2024 · We prove that the first and second generalized Hamming weight of a …

WebThe Hamming weight of a codeword is the number of nonzero entries in the word; the … WebFreeResolutions and Generalized Hamming Weights of binary linear codes ⋆ I. Garc´ıa …

WebFeb 6, 2016 · In this paper we analyze the behavior of the generalized Hamming …

Webentries in the word; the weights of the words in a linear code determine the error … spa party businessWebApr 18, 2024 · Our approach is based on the observation that the generalized Hamming weights and the dimension/length profiles of a linear code form a Galois connection. The central result of this paper is a general Wei-type duality theorem for two Galois connections between finite subsets of , from which all the known Wei-type duality theorems can be … spa party invitation ideasWebApr 29, 2024 · This work aims to algebraically describe the relative generalized … spa party games for girlsWebSep 1, 1993 · The authors derive several results on expressing the generalized Hamming weights of a product code in terms of those of its component codes and formulate a general conjecture. The rth generalized Hamming weight of a linear code is the minimum support size of any r-dimensional subcode. It has been found useful in the studies of … tecan 30051805WebJun 2, 2024 · Relative generalized Hamming weights (RGHWs) were first introduced with respect to a code pair by Luo et al. [], and RGHWs can be viewed as a generalization of generalized Hamming weights (GHWs) [].In 2005, Luo et al. [] considered the wire-tap channel of type II with two users.They assumed the channel with an adversary was … spa party fort worthWebSep 5, 2024 · The Generalized Hamming Weights (GHW) of a code C, identify for each dimension ν, the smallest size of the support of a subcode of C of dimension ν. The GHW of a code are of interest in... spa party invitations printableWebJun 2, 2024 · By the rth generalized Hamming weight of a linear code C, denoted by \( d_{r}(C) \), we mean the smallest support size of any r-dimensional subcode of C.In this paper, we determine the rth generalized Hamming weight of the binary linear code C(G) with the parity check matrix A(G) , where the underlying graph G is a complete graph, a … tecan 30122306