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Designs, Codes and Cryptography最新文献

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Hermitian hulls of rational algebraic geometry codes and applications in quantum codes 有理代数几何码的厄米壳及其在量子码中的应用
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-09-01 DOI: 10.1007/s10623-026-01939-2
Lin Sok,Martianus Frederic Ezerman,San Ling
{"title":"Hermitian hulls of rational algebraic geometry codes and applications in quantum codes","authors":"Lin Sok,Martianus Frederic Ezerman,San Ling","doi":"10.1007/s10623-026-01939-2","DOIUrl":"https://doi.org/10.1007/s10623-026-01939-2","url":null,"abstract":"","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"28 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894502","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
The odd and even sets of $$textrm{PG}(2,8)$$, up to equivalence $$textrm{PG}(2,8)$$的奇偶集，直至等价
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-09-01 DOI: 10.1007/s10623-026-01918-7
Kris Coolsaet,Silvia M. C. Pagani,Arne Botteldoorn
{"title":"The odd and even sets of $$textrm{PG}(2,8)$$, up to equivalence","authors":"Kris Coolsaet,Silvia M. C. Pagani,Arne Botteldoorn","doi":"10.1007/s10623-026-01918-7","DOIUrl":"https://doi.org/10.1007/s10623-026-01918-7","url":null,"abstract":"","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"30 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894499","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
Generalized quadrangles with a point-primitive and line-primitive automorphism group with socle $$textrm{PSp}_4(q)$$ 具有点基和线基自同构群的广义四边形 $$textrm{PSp}_4(q)$$
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-09-01 DOI: 10.1007/s10623-026-01923-w
Meizi Ou, Jianbing Lu
{"title":"Generalized quadrangles with a point-primitive and line-primitive automorphism group with socle $$textrm{PSp}_4(q)$$","authors":"Meizi Ou, Jianbing Lu","doi":"10.1007/s10623-026-01923-w","DOIUrl":"https://doi.org/10.1007/s10623-026-01923-w","url":null,"abstract":"","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"5 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148883451","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
Regular fat linear sets 正则胖线性集
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-09-01 DOI: 10.1007/s10623-026-01926-7
Valentino Smaldore,Corrado Zanella,Ferdinando Zullo
{"title":"Regular fat linear sets","authors":"Valentino Smaldore,Corrado Zanella,Ferdinando Zullo","doi":"10.1007/s10623-026-01926-7","DOIUrl":"https://doi.org/10.1007/s10623-026-01926-7","url":null,"abstract":"Abstract In this work, we introduce ( r ,  i )-regular fat linear sets, which are defined as linear sets containing exactly r points of weight i and all other points of weight one. This notion generalizes and unifies existing constructions; scattered linear sets, clubs, and other previously studied families are special cases. We present new classes of regular fat linear sets in $${{,textrm{PG},}}(k-1,q^n)$$ PG ( k - 1 , q n ) for composite n and study their equivalence classes. Finally, we show that regular fat linear sets naturally yield three-weight rank-metric codes, which we use to obtain bounds on their parameters.","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"8 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894500","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
Low-data cryptanalysis of LowMC instances with full S-box layers 具有完整s盒层的LowMC实例的低数据密码分析
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-09-01 DOI: 10.1007/s10623-026-01940-9
Xingwei Ren,Yang Zhou,Yongqiang Li,Ya Han,Lin Jiao,Mingsheng Wang
{"title":"Low-data cryptanalysis of LowMC instances with full S-box layers","authors":"Xingwei Ren,Yang Zhou,Yongqiang Li,Ya Han,Lin Jiao,Mingsheng Wang","doi":"10.1007/s10623-026-01940-9","DOIUrl":"https://doi.org/10.1007/s10623-026-01940-9","url":null,"abstract":"","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"27 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148933931","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
Automated differential–linear cryptanalysis of SIMON-like ciphers via truncated differential 基于截断微分的类西蒙密码的自动微分-线性密码分析
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-09-01 DOI: 10.1007/s10623-026-01931-w
Guangqiu Lv,Yi Zhang
{"title":"Automated differential–linear cryptanalysis of SIMON-like ciphers via truncated differential","authors":"Guangqiu Lv,Yi Zhang","doi":"10.1007/s10623-026-01931-w","DOIUrl":"https://doi.org/10.1007/s10623-026-01931-w","url":null,"abstract":"","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"55 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894497","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
Using cyclic $$(f,sigma )$$-codes over finite chain rings to construct $$mathbb {Z}_p$$- and $$mathbb {F}_q[![t]!]$$-lattices 利用有限链环上的循环$$(f,sigma )$$ -码构造$$mathbb {Z}_p$$ -格和$$mathbb {F}_q[![t]!]$$ -格
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-09-01 DOI: 10.1007/s10623-026-01933-8
S. Pumplün
{"title":"Using cyclic $$(f,sigma )$$-codes over finite chain rings to construct $$mathbb {Z}_p$$- and $$mathbb {F}_q[![t]!]$$-lattices","authors":"S. Pumplün","doi":"10.1007/s10623-026-01933-8","DOIUrl":"https://doi.org/10.1007/s10623-026-01933-8","url":null,"abstract":"Abstract We construct $$mathbb {Z}_p$$ Z p -lattices and $$mathbb {F}_q[![t]!]$$ F q [ [ t ] ] -lattices from cyclic $$(f,sigma )$$ ( f , σ ) -codes over finite chain rings, employing quotients of natural nonassociative orders and principal left ideals in carefully chosen and not necessarily associative algebras. This approach generalizes the classical Construction A that obtains $$mathbb {Z}$$ Z -lattices from linear codes over finite fields or commutative rings to the nonassociative setting. We mostly use (associative or nonassociative) cyclic algebras that are defined over field extensions of p -adic fields. This means we focus on certain skew constacyclic codes over finite rings to obtain $$mathbb {Z}_p$$ Z p -lattices, hence $$mathbb {Z}_p$$ Z p -lattice codes. We construct linear maximum rank distance (MRD) codes that are $$mathbb {Z}_p$$ Z p -lattice codes employing the left multiplication of a nonassociative algebra over a finite chain ring. Possible other applications of our constructions include cryptography involving p -adic lattices, e.g. learning with errors.","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"51 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894503","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 $$ell $$-rank additive intersection pairs (RAIP) of codes 码的$$ell $$ -秩加性交对（RAIP）
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-08-21 DOI: 10.1007/s10623-026-01929-4
Sanjit Bhowmick, Kuntal Deka, Sihem Mesnager
{"title":"On $$ell $$-rank additive intersection pairs (RAIP) of codes","authors":"Sanjit Bhowmick, Kuntal Deka, Sihem Mesnager","doi":"10.1007/s10623-026-01929-4","DOIUrl":"https://doi.org/10.1007/s10623-026-01929-4","url":null,"abstract":"","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"7 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148768981","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
The weight spectrum of generalized Reed–Muller codes $$RM_q((m-2)(q-1)+3,m)$$ 广义Reed-Muller码的权谱 $$RM_q((m-2)(q-1)+3,m)$$
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-08-21 DOI: 10.1007/s10623-026-01908-9
Somayyeh Golalizadeh, Claude Carlet, Nasrin Soltankhah
{"title":"The weight spectrum of generalized Reed–Muller codes $$RM_q((m-2)(q-1)+3,m)$$","authors":"Somayyeh Golalizadeh, Claude Carlet, Nasrin Soltankhah","doi":"10.1007/s10623-026-01908-9","DOIUrl":"https://doi.org/10.1007/s10623-026-01908-9","url":null,"abstract":"","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"19 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148768982","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
Constructions of binary self-orthogonal singly-even wide minimal linear codes with few weights 二元自正交少权单偶宽最小线性码的构造
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2026-08-21 DOI: 10.1007/s10623-026-01921-y
Kangquan Li, Hao Chen, Wengang Jin, Longjiang Qu
{"title":"Constructions of binary self-orthogonal singly-even wide minimal linear codes with few weights","authors":"Kangquan Li, Hao Chen, Wengang Jin, Longjiang Qu","doi":"10.1007/s10623-026-01921-y","DOIUrl":"https://doi.org/10.1007/s10623-026-01921-y","url":null,"abstract":"","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"36 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148768980","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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