Designs, Codes and Cryptography最新文献

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Cyclic codes and cyclically covering subspaces over finite fields 有限域上的循环码和循环覆盖子空间
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-10-01 DOI: 10.1007/s10623-026-01956-1
Yangcheng Li,Pingzhi Yuan
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引用次数: 0
Completely regular codes in graphs covered by a Hamming graph 由汉明图覆盖的图中的完全正则代码
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-10-01 DOI: 10.1007/s10623-026-01955-2
Sergey Goryainov,Denis Krotov
{"title":"Completely regular codes in graphs covered by a Hamming graph","authors":"Sergey Goryainov,Denis Krotov","doi":"10.1007/s10623-026-01955-2","DOIUrl":"https://doi.org/10.1007/s10623-026-01955-2","url":null,"abstract":"","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"68 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149208919","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A multiset approach to MacWilliams identities MacWilliams恒等式的多集方法
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-10-01 DOI: 10.1007/s10623-026-01951-6
Hopein Christofen Tang
{"title":"A multiset approach to MacWilliams identities","authors":"Hopein Christofen Tang","doi":"10.1007/s10623-026-01951-6","DOIUrl":"https://doi.org/10.1007/s10623-026-01951-6","url":null,"abstract":"Abstract We interpret the symmetrized weight enumerator of linear codes over finite commutative Frobenius rings as a summation over multisets and thereby provide a new proof of the MacWilliams identity for the symmetrized weight enumerator. The proof and the identity are expressed in combinatorial terms that do not require generating characters. We also generalize the symmetrized weight enumerator with respect to supports and codeword tuples, and our multiset approach enables us to derive new and general MacWilliams identities expressed in combinatorial terms.","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"16 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149208918","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Maximal sets of mutually orthogonal frequency squares and Doehlert-Klee designs 互正交频率平方的极大集与Doehlert-Klee设计
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-09-27 DOI: 10.1007/s10623-026-01944-5
Carly Bodkin,Nicholas J. Cavenagh,Ian M. Wanless
{"title":"Maximal sets of mutually orthogonal frequency squares and Doehlert-Klee designs","authors":"Carly Bodkin,Nicholas J. Cavenagh,Ian M. Wanless","doi":"10.1007/s10623-026-01944-5","DOIUrl":"https://doi.org/10.1007/s10623-026-01944-5","url":null,"abstract":"Abstract A binary frequency square of type $$(n;lambda _0,lambda _1)$$ ( n ; λ 0 , λ 1 ) is a (0, 1)-matrix of order n with $$lambda _0$$ λ 0 zeros and $$lambda _1$$ λ 1 ones in each row and in each column. Two such squares are orthogonal if there are exactly $$lambda _1^2$$ λ 1 2 cells where both squares contain ones. A set of binary MOFS is a set of binary frequency squares in which each pair is orthogonal. A set of binary MOFS of type $$(n;lambda _0,lambda _1)$$ ( n ; λ 0 , λ 1 ) is type maximal if there is no square of the type $$(n;lambda _0,lambda _1)$$ ( n ; λ 0 , λ 1 ) that is orthogonal to every square in the set. A Doehlert-Klee design consists of points $$mathcal {V}$$ V and blocks $$mathcal {B}$$ B , where every pair of points occurs in precisely $$Lambda $$ Λ blocks and every point occurs in precisely R blocks, where $$R^2=Lambda |mathcal {B}|$$ R 2 = Λ | B | . We show that sets of binary MOFS are equivalent to a particular kind of Doehlert-Klee design. In a distinct application, Doehlert-Klee designs can also be used to construct sets of binary MOFS that are cyclically generated from their first rows. We use these connections to find new constructions for sets of type-maximal binary MOFS.","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"60 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149049474","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A class of locally differentially 4-uniform power functions with Niho exponents 一类具有Niho指数的局部微分4-一致幂函数
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-09-27 DOI: 10.1007/s10623-026-01950-7
Haode Yan,Kangquan Li
{"title":"A class of locally differentially 4-uniform power functions with Niho exponents","authors":"Haode Yan,Kangquan Li","doi":"10.1007/s10623-026-01950-7","DOIUrl":"https://doi.org/10.1007/s10623-026-01950-7","url":null,"abstract":"","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"93 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149049445","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the minimum length of binary linear codes 关于二进制线性码的最小长度
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-09-27 DOI: 10.1007/s10623-026-01947-2
Tatsuya Maruta,Taiki Tochiyama,Keita Yasufuku
{"title":"On the minimum length of binary linear codes","authors":"Tatsuya Maruta,Taiki Tochiyama,Keita Yasufuku","doi":"10.1007/s10623-026-01947-2","DOIUrl":"https://doi.org/10.1007/s10623-026-01947-2","url":null,"abstract":"","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"107 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149049443","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Infinite families of $$textrm{t}$$-error-correcting binary cyclic codes from sparse polynomials over $$mathbb {F}_{2^n}$$ 从稀疏多项式的无穷族$$textrm{t}$$ -纠错二进制循环码 $$mathbb {F}_{2^n}$$
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-09-27 DOI: 10.1007/s10623-026-01949-0
Yan-Ping Wang,Dengguo Feng
{"title":"Infinite families of $$textrm{t}$$-error-correcting binary cyclic codes from sparse polynomials over $$mathbb {F}_{2^n}$$","authors":"Yan-Ping Wang,Dengguo Feng","doi":"10.1007/s10623-026-01949-0","DOIUrl":"https://doi.org/10.1007/s10623-026-01949-0","url":null,"abstract":"","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"15 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149049446","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Embedding linear codes over $${mathbb {Z}}_4$$ into self-orthogonal codes 在$${mathbb {Z}}_4$$上嵌入线性代码到自正交代码中
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-09-27 DOI: 10.1007/s10623-026-01948-1
Junmin An,Jon-Lark Kim,San Ling
{"title":"Embedding linear codes over $${mathbb {Z}}_4$$ into self-orthogonal codes","authors":"Junmin An,Jon-Lark Kim,San Ling","doi":"10.1007/s10623-026-01948-1","DOIUrl":"https://doi.org/10.1007/s10623-026-01948-1","url":null,"abstract":"","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"107 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149049475","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Unbounded quadratic functional encryption and more from pairings 无界二次函数加密和更多的配对
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-09-27 DOI: 10.1007/s10623-026-01928-5
Junichi Tomida
{"title":"Unbounded quadratic functional encryption and more from pairings","authors":"Junichi Tomida","doi":"10.1007/s10623-026-01928-5","DOIUrl":"https://doi.org/10.1007/s10623-026-01928-5","url":null,"abstract":"","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"13 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149049444","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the combinatorial complexity of bounded sparse Learning With Errors (sLWE) 带误差有界稀疏学习的组合复杂度
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-09-25 DOI: 10.1007/s10623-026-01938-3
Abul Kalam,Santanu Sarkar,Willi Meier
{"title":"On the combinatorial complexity of bounded sparse Learning With Errors (sLWE)","authors":"Abul Kalam,Santanu Sarkar,Willi Meier","doi":"10.1007/s10623-026-01938-3","DOIUrl":"https://doi.org/10.1007/s10623-026-01938-3","url":null,"abstract":"","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"166 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149049473","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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