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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| Main Authors: | , , , , , |
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| Format: | Journal |
| Published: |
2019
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| Subjects: | |
| Online Access: | 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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| Institution: | Chiang Mai University |
| Summary: | © 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. |
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