On m-spotty weight enumerators of \(\mathbb{Z}_2(\mathbb{Z}_2+u\mathbb{Z}_2)\)-linear codes and Griesmer type bound

DOI10.1007/s40314-022-01771-zzbMath1499.94059OpenAlexW4210519525MaRDI QIDQ2115044

Maheshanand Bhaintwal, Soumak Biswas

Publication date: 15 March 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-022-01771-z

zbMATH Keywords

gray mapm-spotty byte error-correcting codesm-spotty weightm-spotty weight enumerator

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Other types of codes (94B60) Cyclic codes (94B15)

Cites Work

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• The MacWilliams identity for \(m\)-spotty weight enumerators of linear codes over finite fields
• On MacWilliams type identities for \(r\)-fold joint \(m\)-spotty weight enumerators
• MacWilliams identity for m-spotty Lee weight enumerators
• A class of random multiple bits in a byte error correcting and single byte error detecting (S/sub t/bEC-S/sub b/ED) codes
• On ℤ₂ℤ₂[u-additive codes]
• On the Probability of Undetected Error for Linear Block Codes
• On $Z_p Z_{p^k}$ -Additive Codes and Their Duality
• AN IDENTITY BETWEEN THE m-SPOTTY ROSENBLOOM-TSFASMAN WEIGHT ENUMERATORS OVER FINITE COMMUTATIVE FROBENIUS RINGS
• Power moment identities on weight distributions in error correcting codes

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