二元向量空间平移群非基系统上模加法运算的散射性质

IF 0.3 Q4 MATHEMATICS, APPLIED

Discrete Mathematics and Applications Pub Date : 2023-06-01 DOI:10.1515/dma-2023-0013

D. A. Burov

{"title":"二元向量空间平移群非基系统上模加法运算的散射性质","authors":"D. A. Burov","doi":"10.1515/dma-2023-0013","DOIUrl":null,"url":null,"abstract":"Abstract We study scatter properties of the modular addition operation for imprimitivity systems of the translation group of the binary vector space Vn = {0, 1}n. We describe all the subspaces of the space Vn that induce imprimitivity systems with worst possible scatter by the modular addition operation.","PeriodicalId":11287,"journal":{"name":"Discrete Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On scatter properties of modular addition operation over imprimitivity systems of the translation group of the binary vector space\",\"authors\":\"D. A. Burov\",\"doi\":\"10.1515/dma-2023-0013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We study scatter properties of the modular addition operation for imprimitivity systems of the translation group of the binary vector space Vn = {0, 1}n. We describe all the subspaces of the space Vn that induce imprimitivity systems with worst possible scatter by the modular addition operation.\",\"PeriodicalId\":11287,\"journal\":{\"name\":\"Discrete Mathematics and Applications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Discrete Mathematics and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/dma-2023-0013\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/dma-2023-0013","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

摘要我们研究了二元向量空间Vn={0,1}n平移群的有迹系统的模加法运算的散射性质。我们描述了空间Vn的所有子空间，这些子空间通过模加法运算引入了具有最差可能散射的无微性系统。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On scatter properties of modular addition operation over imprimitivity systems of the translation group of the binary vector space

Abstract We study scatter properties of the modular addition operation for imprimitivity systems of the translation group of the binary vector space Vn = {0, 1}n. We describe all the subspaces of the space Vn that induce imprimitivity systems with worst possible scatter by the modular addition operation.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Discrete Mathematics and Applications MATHEMATICS, APPLIED-

CiteScore

0.60

自引率

20.00%

发文量

期刊介绍： The aim of this journal is to provide the latest information on the development of discrete mathematics in the former USSR to a world-wide readership. The journal will contain papers from the Russian-language journal Diskretnaya Matematika, the only journal of the Russian Academy of Sciences devoted to this field of mathematics. Discrete Mathematics and Applications will cover various subjects in the fields such as combinatorial analysis, graph theory, functional systems theory, cryptology, coding, probabilistic problems of discrete mathematics, algorithms and their complexity, combinatorial and computational problems of number theory and of algebra.