一种新的增材设计系列

Ars Math. Contemp. Pub Date : 2022-10-05 DOI:10.26493/1855-3974.2707.29c

A. Caggegi

{"title":"一种新的增材设计系列","authors":"A. Caggegi","doi":"10.26493/1855-3974.2707.29c","DOIUrl":null,"url":null,"abstract":"In this paper we construct a family of 2 - ( q n , sp 2 , λ ) additive designs D = ( P , B ) , where q is a power of a prime p and P is a n -dimensional vector space over GF( q ) and we compute their parameters explicitly. These designs, except for some special cases, had not been considered in the previous literature on additive block designs.","PeriodicalId":8402,"journal":{"name":"Ars Math. Contemp.","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"A new family of additive designs\",\"authors\":\"A. Caggegi\",\"doi\":\"10.26493/1855-3974.2707.29c\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we construct a family of 2 - ( q n , sp 2 , λ ) additive designs D = ( P , B ) , where q is a power of a prime p and P is a n -dimensional vector space over GF( q ) and we compute their parameters explicitly. These designs, except for some special cases, had not been considered in the previous literature on additive block designs.\",\"PeriodicalId\":8402,\"journal\":{\"name\":\"Ars Math. Contemp.\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-10-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Ars Math. Contemp.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.26493/1855-3974.2707.29c\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ars Math. Contemp.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26493/1855-3974.2707.29c","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 3

摘要

本文构造了一类2 - (q n, sp 2， λ)可加设计D = (P, B)，其中q是素数P的幂，P是GF(q)上的n维向量空间，并显式地计算了它们的参数。这些设计，除了一些特殊情况，没有考虑在以前的文献中添加块设计。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

A new family of additive designs

In this paper we construct a family of 2 - ( q n , sp 2 , λ ) additive designs D = ( P , B ) , where q is a power of a prime p and P is a n -dimensional vector space over GF( q ) and we compute their parameters explicitly. These designs, except for some special cases, had not been considered in the previous literature on additive block designs.

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

Ars Math. Contemp.

自引率

0.00%

发文量

期刊最新文献

Enumerating symmetric pyramids in Motzkin paths A classification of connected cubic vertex-transitive bi-Cayley graphs over semidihedral group Almost simple groups as flag-transitive automorphism groups of symmetric designs with λ prime Component (edge) connectivity of pancake graphs On girth-biregular graphs