A class of linear codes of length 2 over finite chain rings
© 2020 World Scientific Publishing Company. Let pm be a finite field of cardinality pm, where p is an odd prime, k,λ be positive integers satisfying λ ≥ 2, and denote = pm[x]/(f(x)λpk), where f(x) is an irreducible polynomial in pm[x]. In this note, for any fixed invertible element ω ×, we present a...
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th-cmuir.6653943832-667062019-09-16T12:55:54Z A class of linear codes of length 2 over finite chain rings Yonglin Cao Yuan Cao Hai Q. Dinh Fang Wei Fu Jian Gao Songsak Sriboonchitta Mathematics © 2020 World Scientific Publishing Company. Let pm be a finite field of cardinality pm, where p is an odd prime, k,λ be positive integers satisfying λ ≥ 2, and denote = pm[x]/(f(x)λpk), where f(x) is an irreducible polynomial in pm[x]. In this note, for any fixed invertible element ω ×, we present all distinct linear codes S over of length 2 satisfying the condition: (ωf(x)pka1,a0) S for all (a0,a1) S. This conclusion can be used to determine the structure of (δ + αu2)-constacyclic codes over the finite chain ring pm[u]/(u2λ) of length npk for any positive integer n satisfying gcd(p,n) = 1. 2019-09-16T12:55:54Z 2019-09-16T12:55:54Z 2019-01-01 Journal 02194988 2-s2.0-85070193939 10.1142/S0219498820501030 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85070193939&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/66706 |
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Mathematics |
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Mathematics Yonglin Cao Yuan Cao Hai Q. Dinh Fang Wei Fu Jian Gao Songsak Sriboonchitta A class of linear codes of length 2 over finite chain rings |
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© 2020 World Scientific Publishing Company. Let pm be a finite field of cardinality pm, where p is an odd prime, k,λ be positive integers satisfying λ ≥ 2, and denote = pm[x]/(f(x)λpk), where f(x) is an irreducible polynomial in pm[x]. In this note, for any fixed invertible element ω ×, we present all distinct linear codes S over of length 2 satisfying the condition: (ωf(x)pka1,a0) S for all (a0,a1) S. This conclusion can be used to determine the structure of (δ + αu2)-constacyclic codes over the finite chain ring pm[u]/(u2λ) of length npk for any positive integer n satisfying gcd(p,n) = 1. |
| format |
Journal |
| author |
Yonglin Cao Yuan Cao Hai Q. Dinh Fang Wei Fu Jian Gao Songsak Sriboonchitta |
| author_facet |
Yonglin Cao Yuan Cao Hai Q. Dinh Fang Wei Fu Jian Gao Songsak Sriboonchitta |
| author_sort |
Yonglin Cao |
| title |
A class of linear codes of length 2 over finite chain rings |
| title_short |
A class of linear codes of length 2 over finite chain rings |
| title_full |
A class of linear codes of length 2 over finite chain rings |
| title_fullStr |
A class of linear codes of length 2 over finite chain rings |
| title_full_unstemmed |
A class of linear codes of length 2 over finite chain rings |
| title_sort |
class of linear codes of length 2 over finite chain rings |
| publishDate |
2019 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85070193939&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/66706 |
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1681426505179070464 |