发布求助
文献互助 智能选刊 最新文献

Journal of Algebra Combinatorics Discrete Structures and Applications最新文献

筛选
英文 中文
Self-orthogonal and quantum codes over chain rings 链环上的自正交码和量子码
Journal of Algebra Combinatorics Discrete Structures and Applications Pub Date : 2024-05-06 DOI: 10.13069/jacodesmath.v11i2.304
Maryam Bajelan, Mina Moeini, Bahattin Yildiz
{"title":"Self-orthogonal and quantum codes over chain rings","authors":"Maryam Bajelan, Mina Moeini, Bahattin Yildiz","doi":"10.13069/jacodesmath.v11i2.304","DOIUrl":"https://doi.org/10.13069/jacodesmath.v11i2.304","url":null,"abstract":"In this paper, we investigate the Gray images of codes over chain rings, leading to the derivation of infinite families of self-orthogonal linear codes over the residue field $mathbb{F}_q$. We determine the parameters of optimal self-orthogonal and divisible linear codes. Additionally, we study the Gray images of quasi-twisted codes, resulting in some self-orthogonal Griesmer quasi-cyclic codes. Finally, we employ the CSS construction to derive some quantum codes based on self-orthogonal linear codes.","PeriodicalId":37029,"journal":{"name":"Journal of Algebra Combinatorics Discrete Structures and Applications","volume":" 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141129514","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on $GDD(1, n, n , 4;lambda_{1},lambda_{2})$ $gdd（1，n，n，4；lambda_{1}，lambda_{2}）上的注释$
Journal of Algebra Combinatorics Discrete Structures and Applications Pub Date : 2022-05-05 DOI: 10.13069/jacodesmath.1111720
D. Sarvate, Dinkayehu M. Woldemari̇am
{"title":"A note on $GDD(1, n, n , 4;lambda_{1},lambda_{2})$","authors":"D. Sarvate, Dinkayehu M. Woldemari̇am","doi":"10.13069/jacodesmath.1111720","DOIUrl":"https://doi.org/10.13069/jacodesmath.1111720","url":null,"abstract":"","PeriodicalId":37029,"journal":{"name":"Journal of Algebra Combinatorics Discrete Structures and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44343973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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 isomorphism of unitary subgroups of noncommutative group algebras 关于非对易群代数酉子群的同构
Journal of Algebra Combinatorics Discrete Structures and Applications Pub Date : 2022-05-05 DOI: 10.13069/jacodesmath.1111746
Z. Balogh
{"title":"On the isomorphism of unitary subgroups of noncommutative group algebras","authors":"Z. Balogh","doi":"10.13069/jacodesmath.1111746","DOIUrl":"https://doi.org/10.13069/jacodesmath.1111746","url":null,"abstract":": Let FG be the group algebra of a finite p -group G over a field F of characteristic p . Let (cid:126) be an involution of the group algebra FG which arises form the group basis G . The upper bound for the number of non-isomorphic (cid:126) -unitary subgroups is the number of conjugacy classes of the automorphism group G with all the elements of order two. The upper bound is not always reached in the case when G is an abelian group, but for non-abelian case the question is open. In this paper we present a non-abelian p -group G whose group algebra FG has sharply less number of non-isomorphic (cid:126) -unitary subgroups than the given upper bound.","PeriodicalId":37029,"journal":{"name":"Journal of Algebra Combinatorics Discrete Structures and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44881644","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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 generation of alpha graphs 关于图的生成
Journal of Algebra Combinatorics Discrete Structures and Applications Pub Date : 2022-05-05 DOI: 10.13069/jacodesmath.1111733
Christian Barrientos
{"title":"On the generation of alpha graphs","authors":"Christian Barrientos","doi":"10.13069/jacodesmath.1111733","DOIUrl":"https://doi.org/10.13069/jacodesmath.1111733","url":null,"abstract":"","PeriodicalId":37029,"journal":{"name":"Journal of Algebra Combinatorics Discrete Structures and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43056959","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
The bicyclic semigroup as the quotient inverse semigroup by any gauge inverse submonoid 任意规范逆子单体作为商逆半群的双环半群
Journal of Algebra Combinatorics Discrete Structures and Applications Pub Date : 2022-05-05 DOI: 10.13069/jacodesmath.1112177
E. Schwab
{"title":"The bicyclic semigroup as the quotient inverse semigroup by any gauge inverse submonoid","authors":"E. Schwab","doi":"10.13069/jacodesmath.1112177","DOIUrl":"https://doi.org/10.13069/jacodesmath.1112177","url":null,"abstract":": Every gauge inverse submonoid (including Jones-Lawson’s gauge inverse submonoid of the polycyclic monoid P n ) is a normal submonoid. In 2018, Alyamani and Gilbert introduced an equivalence relation on an inverse semigroup associated to a normal inverse subsemigroup. The corresponding quotient set leads to an ordered groupoid. In this note we shall show that this ordered groupoid is inductive if the normal inverse subsemigroup is a gauge inverse submonoid and the corresponding quotient inverse semigroup by any guage inverse submonoid is isomorphic either to the bicyclic semigroup or to the bicyclic semigroup with adjoined zero.","PeriodicalId":37029,"journal":{"name":"Journal of Algebra Combinatorics Discrete Structures and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49031069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Note on the permutation group associated to E-polynomials 注意与e多项式相关的置换群
Journal of Algebra Combinatorics Discrete Structures and Applications Pub Date : 2022-01-15 DOI: 10.13069/jacodesmath.1056485
Hirotaka Imamura, M. Kosuda, M. Oura
{"title":"Note on the permutation group associated to E-polynomials","authors":"Hirotaka Imamura, M. Kosuda, M. Oura","doi":"10.13069/jacodesmath.1056485","DOIUrl":"https://doi.org/10.13069/jacodesmath.1056485","url":null,"abstract":"This is a continuation of our project which focuses on E-polynomials and the related combinatorics. A pair of groups appearing in the definition of E-polynomials yields the permutation group. In this paper, we determine the multi-matrix structures of the centralizer algebras of the tensor representations of this permutation group.","PeriodicalId":37029,"journal":{"name":"Journal of Algebra Combinatorics Discrete Structures and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41403592","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
1-generator two-dimensional quasi-cyclic codes over $mathbb{Z}_4[u]/langle u^2-1rangle$ $mathbb上的1-生成二维拟循环码{Z}_4[u] /langle u^2-1langle$
Journal of Algebra Combinatorics Discrete Structures and Applications Pub Date : 2022-01-15 DOI: 10.13069/jacodesmath.1056624
Arazgol Ghajari, K. Khashyarmanesh, Zohreh Rajabi
{"title":"1-generator two-dimensional quasi-cyclic codes over $mathbb{Z}_4[u]/langle u^2-1rangle$","authors":"Arazgol Ghajari, K. Khashyarmanesh, Zohreh Rajabi","doi":"10.13069/jacodesmath.1056624","DOIUrl":"https://doi.org/10.13069/jacodesmath.1056624","url":null,"abstract":"","PeriodicalId":37029,"journal":{"name":"Journal of Algebra Combinatorics Discrete Structures and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42239703","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Growth of harmonic functions on biregular trees 双正则树上调和函数的生长
Journal of Algebra Combinatorics Discrete Structures and Applications Pub Date : 2022-01-15 DOI: 10.13069/jacodesmath.1056555
F. J. González Vieli
{"title":"Growth of harmonic functions on biregular trees","authors":"F. J. González Vieli","doi":"10.13069/jacodesmath.1056555","DOIUrl":"https://doi.org/10.13069/jacodesmath.1056555","url":null,"abstract":"","PeriodicalId":37029,"journal":{"name":"Journal of Algebra Combinatorics Discrete Structures and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47577713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On metric dimension of plane graphs $mathfrak{J}_{n}$, $mathfrak{K}_{n}$ and $mathfrak{L}_{n}$ 关于平面图$mathfrak的度量维数{J}_{n} $，$mathfrak{K}_{n} $和$mathfrak{L}_｛n｝$
Journal of Algebra Combinatorics Discrete Structures and Applications Pub Date : 2021-09-15 DOI: 10.13069/jacodesmath.1000842
S. Sharma, V. Sharma
{"title":"On metric dimension of plane graphs $mathfrak{J}_{n}$, $mathfrak{K}_{n}$ and $mathfrak{L}_{n}$","authors":"S. Sharma, V. Sharma","doi":"10.13069/jacodesmath.1000842","DOIUrl":"https://doi.org/10.13069/jacodesmath.1000842","url":null,"abstract":"","PeriodicalId":37029,"journal":{"name":"Journal of Algebra Combinatorics Discrete Structures and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41709515","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Cyclic DNA codes over the ring $mathbb{Z}_4+umathbb{Z}_4+u^2mathbb{Z}_4$ 循环DNA编码在环$mathbb{Z}_4+umathbb{Z}_4+u^2mathbb{Z}_4$上
Journal of Algebra Combinatorics Discrete Structures and Applications Pub Date : 2021-09-15 DOI: 10.13069/jacodesmath.1000959
Karthick Gowthaman, Somi Gupta, Cruz Mohan, K. Guenda, Durairajan Chinnapillai
{"title":"Cyclic DNA codes over the ring $mathbb{Z}_4+umathbb{Z}_4+u^2mathbb{Z}_4$","authors":"Karthick Gowthaman, Somi Gupta, Cruz Mohan, K. Guenda, Durairajan Chinnapillai","doi":"10.13069/jacodesmath.1000959","DOIUrl":"https://doi.org/10.13069/jacodesmath.1000959","url":null,"abstract":"","PeriodicalId":37029,"journal":{"name":"Journal of Algebra Combinatorics Discrete Structures and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66233283","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信