\(\mathbb{Z}_4\mathbb{Z}_4 [u]\)-additive cyclic and constacyclic codes
type: Item
instance of: scholarly article
title: \(\mathbb{Z}_4\mathbb{Z}_4 [u]\)-additive cyclic and constacyclic codes
zbMATH Open document ID: 1479.94366
author: Habibul Islam
author: Om Prakash
author: Patrick Solé
published in: Advances in Mathematics of Communications
publication date: 2021-12-18T00:00:00Z
Mathematics Subject Classification ID: 94B15
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 94B60
zbMATH DE Number: 7449476
zbMATH Keywords: additive code
zbMATH Keywords: Gray map
zbMATH Keywords: quasi-cyclic code
zbMATH Keywords: skew cyclic code
zbMATH Keywords: generalized quasi-cyclic code
MaRDI profile type: Publication
full work available at URL: amc.2020094
OpenAlex ID: W3040031661
cites work: Q5442379
cites work: Cyclic codes over the rings \(\mathbb Z_2 + u\mathbb Z_2\) and \(\mathbb Z_2 + u\mathbb Z_2 + u^2 \mathbb Z_2\)
cites work: $\BBZ_{2}\BBZ_{4}$ -Additive Cyclic Codes
cites work: A generalization of quasi-twisted codes: multi-twisted codes
cites work: On ℤ2ℤ2[u]-additive codes
cites work: $\mathbb {Z}_{2}\mathbb {Z}_{2}[u]$ –Cyclic and Constacyclic Codes
cites work: On the structure of \(\mathbb{Z}_2 \mathbb{Z}_2 [u^3]\)-linear and cyclic codes
cites work: On ℤprℤps-additive codes
cites work: Linear codes over 𝔽4R and their MacWilliams identity
cites work: The theory of cyclic codes and a generalization to additive codes
cites work: \(\mathbb Z_2\mathbb Z_4\)-linear codes: Generator matrices and duality
cites work: ${\mathbb {Z}}_{2}{\mathbb {Z}}_{4}$ -Additive Cyclic Codes, Generator Polynomials, and Dual Codes
cites work: A characterization of \(\mathbb {Z}_{2}\mathbb {Z}_{2}[u]\)-linear codes
cites work: Skew constacyclic codes over Galois rings
cites work: Q5707657
cites work: Association schemes and coding theory
cites work: Generalized quasi-cyclic codes: Structural properties and code construction
cites work: \(Z_2Z_4\)-linear codes: rank and kernel
cites work: Q4046212
cites work: Q4146667
cites work: \(\mathbb {Z}_2\mathbb {Z}_4\)-additive perfect codes in steganography
cites work: A class of skew-constacyclic codes over \(\mathbb{Z}_{4} + u \mathbb{Z}_{4}\)
cites work: \(F_3R\)-skew cyclic codes
cites work: On $Z_p Z_{p^k}$ -Additive Codes and Their Duality
cites work: ℤ2(ℤ2 + uℤ2)-Additive cyclic codes and their duals
cites work: \( \mathbb{Z}_p\mathbb{Z}_{p^s} \)-additive cyclic codes are asymptotically good
cites work: Asymptotically good \(\mathbb{Z}_{p^r} \mathbb{Z}_{p^s} \)-additive cyclic codes
cites work: On cyclic codes over \(\mathbb{Z}_4\) + \(u\mathbb{Z}_4\) and their \(\mathbb{Z}_4\)-images
DOI: 10.3934/AMC.2020094
description: scientific article; zbMATH DE number 7449476