Hall sets, Lazard sets and comma-free codes

Perrin Dominique; Reutenauer Christophe

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Hall sets, Lazard sets and comma-free codes

机译：霍尔套，Lazard Sets和免费代码

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摘要

We investigate the relationship between two constructions of maximal comma-free codes described, respectively, by Eastman and by Scholtz and the notions of Hall sets and Lazard sets introduced in connection with factorizations of free monoids and bases of free Lie algebras. (C) 2017 Elsevier B.V. All rights reserved.

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《Discrete mathematics》 |2018年第1期|共12页
作者
Perrin Dominique; Reutenauer Christophe;
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作者单位

Univ Paris Est LIGM Champs Sur Marne France;

Univ Quebec Montreal LaCIM Montreal PQ Canada;

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原文格式 PDF
正文语种 eng
中图分类离散数学;
关键词
Comma-free codes; Free Lie algebras;

机译：免费代码;免费谎言代数;

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专利

1. Hall sets, Lazard sets and comma-free codes [J] . Perrin Dominique, Reutenauer Christophe Discrete mathematics . 2018,第1期

机译：霍尔套，Lazard Sets和免费代码
2. From Cages to Trapping Sets and Codewords: A Technique to Derive Tight Upper Bounds on the Minimum Size of Trapping Sets and Minimum Distance of LDPC Codes [J] . Dehghan Ali, Banihashemi Amir H. IEEE Transactions on Information Theory . 2019,第4期

机译：从笼子到陷印集和码字：一种推导陷印集的最小大小和LDPC码的最小距离的紧上限的技术
3. From Cages to Trapping Sets and Codewords: A Technique to Derive Tight Upper Bounds on the Minimum Size of Trapping Sets and Minimum Distance of LDPC Codes [J] . Dehghan Ali, Banihashemi Amir H. IEEE Transactions on Information Theory . 2019,第4期

机译：从笼中捕获集合和码字：一种在捕获集的最小尺寸和LDPC代码的最小距离上导出紧密上限的技术
4. Asymptotic Average Number of Different Categories of Trapping Sets, Absorbing Sets and Stopping Sets in Random LDPC Code Ensembles [C] . Ali Dehghan, Amir H. Banihashemi IEEE International Symposium on Information Theory . 2018

机译：随机LDPC码集合中陷波集，吸收集和停止集的不同类别的渐近平均数
5. Design and Software Validation of Coded Communication Schemes using Multidimensional Signal Sets without Constellation Expansion Penalty in Band-Limited Gaussian and Fading Channels. [D] . Quinteros, Milton I. 2014

机译：在带限高斯和衰落信道中使用无星座扩展代价的多维信号集的编码通信方案的设计和软件验证。
6. Term sets: A transparent and reproducible representation of clinical code sets [O] . Richard Williams, Benjamin Brown, Evan Kontopantelis, 2019

机译：术语集：临床代码集的透明和可重复表示
7. Hall sets, Lazard sets and comma-free codes [O] . Perrin, Dominique, Reutenauer, Christophe 2016

机译：霍尔套装，Lazard套装和无逗号码

Hall sets, Lazard sets and comma-free codes

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