Some constructions of \(l\)-Galois LCD codes

DOI10.3934/AMC.2023053MaRDI QIDQ6646797

Shikha Yadav, Indibar Debnath, Om Prakash

Publication date: 3 December 2024

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

zbMATH Keywords

generator matrixmulti-secret sharing schemeGalois inner productGalois LCD code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Other types of codes (94B60) Authentication, digital signatures and secret sharing (94A62)

Cites Work

• Complementary dual codes for counter-measures to side-channel attacks
• Linear codes with complementary duals
• New entanglement-assisted quantum codes from \(k\)-Galois dual codes
• Hermitian LCD codes from cyclic codes
• Galois LCD codes over finite fields
• Cyclic codes over a non-chain ring \(R_{e,q}\) and their application to LCD codes
• Galois LCD codes over mixed alphabets
• Construction of LCD and new quantum codes from cyclic codes over a finite non-chain ring
• Self-dual and LCD double circulant and double negacirculant codes over \({\mathbb{F}}_q+u{\mathbb{F}}_q+v{\mathbb{F}}_q\)
• Self-dual and LCD double circulant codes over a class of non-local rings
• On Hermitian LCD codes and their gray image
• Further results on Euclidean and Hermitian linear complementary dual codes
• Linear complementary dual codes over rings
• LCD codes over finite chain rings
• Galois self-dual constacyclic codes
• New EAQEC codes constructed from Galois LCD codes
• Galois LCD codes over rings
• Cyclic and LCD Codes over a Finite Commutative Semi-local Ring
• Galois hulls of constacyclic codes over finite fields

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