On Linear Codes over Local Rings of Order p4
On Linear Codes over Local Rings of Order p4
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Basel: MDPI AG
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English
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Basel: MDPI AG
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Suppose R is a local ring with invariants p,n,r,m,k and mr=4, that is R of order p4. Then, R=R0+uR0+vR0+wR0 has maximal ideal J=uR0+vR0+wR0 of order p(m−1)r and a residue field F of order pr, where R0=GR(pn,r) is the coefficient subring of R. In this article, the goal is to improve the understanding of linear codes over small-order non-chain rings....
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On Linear Codes over Local Rings of Order p4
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TN_cdi_doaj_primary_oai_doaj_org_article_f5a069ea9d4747398f5628110cda8be9
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_f5a069ea9d4747398f5628110cda8be9
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ISSN
2227-7390
E-ISSN
2227-7390
DOI
10.3390/math12193069
