Polycyclic codes associated with trinomials: good codes and open questions
From MaRDI portal
Publication:2132449
DOI10.1007/s10623-022-01038-yOpenAlexW3175712048WikidataQ114849755 ScholiaQ114849755MaRDI QIDQ2132449
Bryan Yoshino, Peihan Liu, Nuh Aydin
Publication date: 28 April 2022
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.12065
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the duality and the direction of polycyclic codes
- Some results on the structure of constacyclic codes and new linear codes over \(\mathrm{GF}(7)\) from quasi-twisted codes
- Rational power series, sequential codes and periodicity of sequences
- Constacyclic codes over the ring \(\mathbb {F}_q+v\mathbb {F}_q+v^2\mathbb {F}_q\) and their applications of constructing new non-binary quantum codes
- Polycyclic codes as invariant subspaces
- On polycyclic codes over a finite chain ring
- Construction of isodual codes from polycirculant matrices
- Dual generalizations of the concept of cyclicity of codes
- New non-binary quantum codes from constacyclic codes over \( \mathbb{F}_q[u,v/\langle u^{2}-1, v^{2}-v, uv-vu\rangle \)]
- On equivalence of cyclic codes, generalization of a quasi-twisted search algorithm, and new linear codes
- A novel approach for constructing reversible codes and applications to DNA codes over the ring \(\mathbb{F}_2 [u /(u^{2 k} - 1)\)]
- A generalization of quasi-twisted codes: multi-twisted codes
- Construction of cyclic codes over \(\mathrm{GF}(4)\) for DNA computing
- Quantum codes from cyclic codes over the ring \(\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_r\mathbb{F}_q\)
- The intractability of computing the minimum distance of a code
- Error Correcting Codes in Quantum Theory
- Quantum error correction via codes over GF(4)
- Quantum codes from a class of constacyclic codes over finite commutative rings
- Quantum codes from cyclic codes over the ring Fp[u/〈u3 − u〉]
- Skew quasi cyclic codes over 𝔽q + v𝔽q
- Reversible codes
- The structure of 1-generator quasi-twisted codes and new linear codes
This page was built for publication: Polycyclic codes associated with trinomials: good codes and open questions