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检索条件"主题词=group code"
48 条 记 录,以下是1-10 订阅
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A cyclic group code and the hexacode over GF(4)
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IEEE TRANSACTIONS ON INFORMATION THEORY 1996年 第4期42卷 1250-1253页
作者: Ran, M Snyders, J Department of Electrical Engineering-Systems Tel Aviv University Tel Aviv Israel
A [6,3,4] code E(6) over an Abelian group A(4) with four elements is presented. E(6) is cyclic, unlike the [6,3,4] hexacode H-6 over GF(4). However, E(6) and H-6 are isomorphic when the latter is viewed as a group cod... 详细信息
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Bstj 45: 3. March 1966: Computing the Spectrum of a Binary group code. (Buchner, M.M. Jr.)
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2016年
Bstj 45: 3. March 1966: Computing the Spectrum of a Binary group code. (Buchner, M.M. Jr.) by published by
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Around LCD group codes
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DESIGNS codeS AND CRYPTOGRAPHY 2025年 第4期93卷 889-897页
作者: de la Cruz, Javier Willems, Wolfgang Univ Norte Barranquilla Colombia Otto von Guericke Univ Magdeburg Germany
In this note we answer some questions on LCD\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgr... 详细信息
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Involutory permutation automorphisms of binary linear codes
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JOURNAL OF ALGEBRA AND ITS APPLICATIONS 2025年 第5期24卷
作者: Altunbulak Aksu, Fatma Hafezieh, Roghayeh Tuvay, Ipek Mimar Sinan Fine Arts Univ Dept Math TR-34380 Sisli Istanbul Turkiye Gebze Tech Univ Dept Math TR-41400 Gebze Kocaeli Turkiye
We investigate the properties of binary linear codes of even length whose permutation automorphism group is a cyclic group generated by an involution. Up to dimension or co-dimension 4, we show that there is no quasi-... 详细信息
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group codes of dimension 2 and 3 are abelian
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FINITE FIELDS AND THEIR APPLICATIONS 2019年 55卷 167-176页
作者: Garcia Pillado, C. Gonzalez, S. Markov, V Markova, O. Martinez, C. Univ Oviedo Dept Math Oviedo Spain Moscow MV Lomonosov State Univ Dept Mech & Math Moscow Russia
Let F be a finite field and let G be a finite group. We show that if C is a G-code over F with dim(F)(C) 2 (see the examples in [1]), we conclude that the smallest dimension of a non-abelian group code over a finite ... 详细信息
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group codes over fields are asymptotically good
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FINITE FIELDS AND THEIR APPLICATIONS 2020年 68卷 101738-101738页
作者: Borello, Martino Willems, Wolfgang Univ Paris 08 Lab Geometrie Anal & Applicat LAGA Univ Sorbonne Paris NordCNRSUMR 7539 F-93430 Villetaneuse France Otto von Guericke Univ Magdeburg Germany Univ Norte Barranquilla Colombia
group codes are right or left ideals in a group algebra of a finite group over a finite field. Following the ideas of a paper on binary group codes by Bazzi and Mitter in 2006, we prove that group codes over finite fi... 详细信息
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On group codes with complementary duals
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DESIGNS codeS AND CRYPTOGRAPHY 2018年 第9期86卷 2065-2073页
作者: de la Cruz, Javier Willems, Wolfgang Univ Norte Barranquilla Colombia Otto von Guericke Univ Magdeburg Germany
We investigate and characterize ideals in a group algebra KG which have complementary duals, i.e., ideals C in KG which satisfy In the special case that G is a cyclic group we get an early result of Yang and Massey as... 详细信息
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Some constructions of linearly optimal group codes
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LINEAR ALGEBRA AND ITS APPLICATIONS 2010年 第2期433卷 356-364页
作者: Couselo, Elena Gonzalez, Santos Markov, Victor Martinez, Consuelo Nechaev, Alexander Univ Oviedo Dept Math Oviedo Spain Moscow MV Lomonosov State Univ Ctr New Informat Technol Moscow Russia
We continue here the research on (quasi)group codes over (quasi)group rings. We give some constructions of [n, n - 3, 3](q)- codes over F-q for n = 2q and n = 3q. These codes are linearly optimal, i.e. have maximal di... 详细信息
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On the theory of group codes
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Cybernetics 1967年 第1期3卷 25-31页
作者: Berman, S.D. Uzhgorod University Uzhgorod
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On Frames from Abelian group codes
On Frames from Abelian Group Codes
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IEEE International Symposium on Information Theory (ISIT)
作者: Thill, Matthew Hassibi, Babak CALTECH Dept Elect Engn Pasadena CA 91125 USA
Designing low coherence matrices and low-correlation frames is a point of interest in many fields including compressed sensing, MIMO communications and quantum measurements. The challenge is that one must control the ... 详细信息
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