{"title":"单一汉明距离编码的新上限","authors":"Gábor Hegedüs","doi":"arxiv-2409.07877","DOIUrl":null,"url":null,"abstract":"In this short note we give a new upper bound for the size of a set family\nwith a single Hamming distance. Our proof is an application of the linear algebra bound method.","PeriodicalId":501444,"journal":{"name":"arXiv - MATH - Metric Geometry","volume":"18 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A new upper bound for codes with a single Hamming distance\",\"authors\":\"Gábor Hegedüs\",\"doi\":\"arxiv-2409.07877\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this short note we give a new upper bound for the size of a set family\\nwith a single Hamming distance. Our proof is an application of the linear algebra bound method.\",\"PeriodicalId\":501444,\"journal\":{\"name\":\"arXiv - MATH - Metric Geometry\",\"volume\":\"18 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Metric Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.07877\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Metric Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07877","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A new upper bound for codes with a single Hamming distance
In this short note we give a new upper bound for the size of a set family
with a single Hamming distance. Our proof is an application of the linear algebra bound method.
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