52维s极值最优非模格的构造

IF 0.9 Q3 COMPUTER SCIENCE, THEORY & METHODS

International Journal of Computer Mathematics: Computer Systems Theory Pub Date : 2019-12-05 DOI:10.1080/23799927.2020.1755367

M. Harada

{"title":"52维s极值最优非模格的构造","authors":"M. Harada","doi":"10.1080/23799927.2020.1755367","DOIUrl":null,"url":null,"abstract":"An s-extremal optimal unimodular lattice in dimension 52 is constructed for the first time. This lattice is constructed from a certain self-dual -code by Construction A. In addition, as neighbours of the lattice, two more s-extremal optimal unimodular lattices are constructed.","PeriodicalId":37216,"journal":{"name":"International Journal of Computer Mathematics: Computer Systems Theory","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2019-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Construction of s-extremal optimal unimodular lattices in dimension 52\",\"authors\":\"M. Harada\",\"doi\":\"10.1080/23799927.2020.1755367\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An s-extremal optimal unimodular lattice in dimension 52 is constructed for the first time. This lattice is constructed from a certain self-dual -code by Construction A. In addition, as neighbours of the lattice, two more s-extremal optimal unimodular lattices are constructed.\",\"PeriodicalId\":37216,\"journal\":{\"name\":\"International Journal of Computer Mathematics: Computer Systems Theory\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2019-12-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Computer Mathematics: Computer Systems Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/23799927.2020.1755367\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"COMPUTER SCIENCE, THEORY & METHODS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Computer Mathematics: Computer Systems Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/23799927.2020.1755367","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}

引用次数: 0

摘要

首次构造了52维的s极值最优单模格。构造a从一个特定的自对偶码构造了这个格。此外，作为格的邻居，构造了另外两个s极值最优非模格。

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

Construction of s-extremal optimal unimodular lattices in dimension 52

An s-extremal optimal unimodular lattice in dimension 52 is constructed for the first time. This lattice is constructed from a certain self-dual -code by Construction A. In addition, as neighbours of the lattice, two more s-extremal optimal unimodular lattices are constructed.

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

International Journal of Computer Mathematics: Computer Systems Theory Computer Science-Computational Theory and Mathematics

CiteScore

1.80

自引率

0.00%

发文量