Construction of one-Gray weight codes and two-Gray weight codes over \(\mathbb{Z}_{4} + u \mathbb{Z}_{4}\)
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Publication:1691956
DOI10.1007/s11424-016-5286-yzbMath1387.94131OpenAlexW2530905272MaRDI QIDQ1691956
Bo Wu, Jian Gao, Minjia Shi, Dan-dan Wang
Publication date: 25 January 2018
Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11424-016-5286-y
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Other types of codes (94B60) Combinatorial codes (94B25)
Related Items (3)
On constacyclic codes over \(\mathbb{Z}_4 [u / \langle u^2 - 1 \rangle\) and their Gray images] ⋮ Duadic codes over \(\mathbb{Z}_4+u\mathbb{Z}_4 \) ⋮ Infinite families of MDR cyclic codes over \(\mathbb{Z}_4\) via constacyclic codes over \(\mathbb{Z}_4 [u \slash \langle u^2 - 1 \rangle \)]
Cites Work
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- A class of optimal \(p\)-ary codes from one-weight codes over \(\mathbb F_p[u/\langle u^m\rangle\)]
- Projective two-weight codes with small parameters and their corresponding graphs
- Optimal \(p\)-ary codes from one-weight and two-weight codes over \(\mathbb{F}_p + v\mathbb{F}_p^* \)
- Two-weight cyclic codes constructed as the direct sum of two one-weight cyclic codes
- Construction of strongly regular graphs, two-weight codes and partial geometries by finite fields
- The correspondence between projective codes and 2-weight codes
- On perfect ternary constant weight codes
- Optimal binary codes from one-Lee weight codes and two-Lee weight projective codes over \(\mathbb Z_4\)
- New classes of 2-weight cyclic codes
- Projective two-weight irreducible cyclic and constacyclic codes
- Construction of two-Lee weight codes over
- Secret Sharing Schemes from Two-Weight Codes
- Are<tex>$2$</tex>-Weight Projective Cyclic Codes Irreducible?
- The Geometry of Two-Weight Codes
- Determining the Number of One-Weight Cyclic Codes When Length and Dimension Are Given
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