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A study on structure of codes over Z4 + uZ4 + vZ4.

• Authors : Karthick, G.¹

• Source: Communications in Combinatorics & Optimization. 2024, Vol. 9 Issue 3, p567-578. 12p.

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$ (\theta_i, \lambda) $-constacyclic codes and DNA codes over $ \mathbb{Z}_{4}+u\mathbb{Z}_{4}+u^{2}\mathbb{Z}_{4} $

• Authors : Fatma Zehra Uzekmek; Elif Segah Oztas; Mehmet Ozen

Subjects: codes over rings; constacyclic codes; skew codes

• Source: AIMS Mathematics, Vol 9, Iss 10, Pp 27908-27929 (2024)

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Two-dimensional cyclic codes over a finite chain ring

• Authors : Garg Disha; Dutt Sucheta

Subjects: cyclic codes; 2d codes; finite chain ring

• Source: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 32, Iss 3, Pp 75-88 (2024)

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Linear Skew Cyclic Codes over 𝔽qS

• Authors : Yildirim Tulay

Subjects: codes over rings; gray map; linear codes

• Source: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 32, Iss 3, Pp 173-192 (2024)

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The polycyclic codes over the finite field $ \mathbb{F}_q $

• Authors : Wei Qi

Subjects: polycyclic codes; idempotent generator; check matrix

• Source: AIMS Mathematics, Vol 9, Iss 11, Pp 29707-29717 (2024)

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Constacyclic codes over 𝔽q𝒮𝒯 and their applications

• Authors : Amal S. Alali; Mohd Azmi; Nadeem ur Rehman

Subjects: Cyclic codes; constacyclic codes; hamming distance

• Source: AKCE International Journal of Graphs and Combinatorics, Pp 1-11 (2024)

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Correction: Camazón Portela, D.; López Ramos, J.A. Error-Correcting Codes on Projective Bundles over Deligne–Lusztig Varieties. Mathematics 2023, 11 , 3079.

• Authors : Camazón Portela, Daniel¹ (AUTHOR) ; López Ramos, Juan Antonio¹ (AUTHOR)

• Source: Mathematics (2227-7390). Dec2024, Vol. 12 Issue 23, p3634. 3p.

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Skew cyclic codes over 𝔻4R and their applications to DNA codes construction

• Authors : Rehman Nadeem ur; Ahmad Mohammad Fareed; Azmi Mohd

Subjects: cyclic codes; skew polynomial ring; dna codes

• Source: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 32, Iss 2, Pp 157-175 (2024)

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The study of ℤpℤp[u, v]-additive cyclic codes and their application in obtaining Optimal and MDSS codes

• Authors : Ashraf Mohammad; Asim Mohd; Mohammad Ghulam

Subjects: polynomial ring; additive cyclic codes; gray map

• Source: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 32, Iss 1, Pp 19-44 (2024)

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Generalized Reed-Solomon codes over number fields and exact gradient coding

• Authors : Irwansyah; Intan Muchtadi-Alamsyah; Fajar Yuliawan

Subjects: generalized reed-solomon codes; generalized quasi-cyclic codes; number fields

• Source: AIMS Mathematics, Vol 9, Iss 4, Pp 9508-9518 (2024)

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