Some results on \( \mathbb{Z}_p\mathbb{Z}_p[v] \)-additive cyclic codes
From MaRDI portal
Publication:2210635
DOI10.3934/amc.2020029zbMath1478.94120OpenAlexW2972071912MaRDI QIDQ2210635
Lingyu Diao, Jiyong Lu, Jian Gao
Publication date: 7 November 2020
Published in: Advances in Mathematics of Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/amc.2020029
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15)
Related Items (26)
Weight distributions for projective binary linear codes from Weil sums ⋮ \(\mathbb{F}_qR\)-linear skew cyclic codes ⋮ \(\mathbb{F}_q\)-linear skew cyclic codes over \(\mathbb{F}_{q^2}\) and their applications of quantum codes construction ⋮ \(n\)-dimension quasi-twisted codes of arbitrary length over finite fields ⋮ Complete weight enumerator of torsion codes ⋮ \(\mathbb{Z}_2\mathbb{Z}_2[u^4\)-cyclic codes and their duals] ⋮ \((x^n - (a+bw), \xi, \eta)\)-skew constacyclic codes over \(\mathbb{F}_q + w\mathbb{F}_q\) and their applications in quantum codes ⋮ Non-binary quantum codes from cyclic codes over \(\mathbb{F}_p \times (\mathbb{F}_p +v\mathbb{F}_p)\) ⋮ New MDS operator quantum error-correcting codes derived from constacyclic codes over \(\mathbb{F}_{q^2} + v\mathbb{F}_{q^2}\) ⋮ New EAQMDS codes constructed from negacyclic codes ⋮ Hermitian dual-containing constacyclic codes over \(\mathbb{F}_{q^2}+v_1 \mathbb{F}_{q^2}+\cdots +v_r \mathbb{F}_{q^2}\) and new quantum codes ⋮ Minimal linear codes from defining sets over \(\mathbb{F}_p + u \mathbb{F}_p\) ⋮ ℤ4R-additive cyclic and constacyclic codes and MDSS codes ⋮ Weight distribution of double cyclic codes over \(\mathbb{F}_q + u \mathbb{F}_q\) ⋮ Constacyclic codes over mixed alphabets and their applications in constructing new quantum codes ⋮ \(\mathbb{F}_2[u\mathbb{F}_2[u]\)-additive cyclic codes are asymptotically good] ⋮ \(n\)-dimensional quasi-cyclic codes over finite chain rings ⋮ Weight distributions of generalized quasi-cyclic codes over \(\mathbb{F}_q + u \mathbb{F}_q\) ⋮ Some skew constacyclic codes over \(\mathbb{F}_q+u\mathbb{F}_q\) ⋮ Some results on \(\mathbb{F}_4[v\)-double cyclic codes] ⋮ \(\mathbb{Z}_p \mathbb{Z}_p[v\)-additive cyclic codes are asymptotically good] ⋮ Few-weight \(\mathbb{Z}_p\mathbb{Z}_p[u\)-additive codes from down-sets] ⋮ Enumeration of \({\mathbb{Z}}_4\)-double cyclic codes ⋮ Maximal entanglement EAQECCs from cyclic and constacyclic codes over \(\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_{s-1}\mathbb{F}_q\) ⋮ Quantum codes from cyclic codes over the mixed alphabet structure ⋮ Weight distribution of double cyclic codes over Galois rings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Construction of quantum codes from cyclic codes over \(\mathbb F_p + v\mathbb F_p\)
- Quantum codes derived from negacyclic codes
- \(\mathbb Z_2\mathbb Z_4\)-linear codes: Generator matrices and duality
- \(u\)-constacyclic codes over \(\mathbb F_p+u\mathbb F_p\) and their applications of constructing new non-binary quantum codes
- 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
- Quantum codes from cyclic codes over the ring \(\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_r\mathbb{F}_q\)
- ${\mathbb {Z}}_{2}{\mathbb {Z}}_{4}$ -Additive Cyclic Codes, Generator Polynomials, and Dual Codes
- $\BBZ_{2}\BBZ_{4}$ -Additive Cyclic Codes
- ℤ2(ℤ2 + uℤ2)-Additive cyclic codes and their duals
- On ℤ2ℤ2[u-additive codes]
- On ℤprℤps-additive codes
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- Quantum twisted codes
- Quantum error correction via codes over GF(4)
- Association schemes and coding theory
- Some Results on Cyclic Codes Over ${F}_{2}+v{F}_{2}$
- $\mathbb {Z}_{2}\mathbb {Z}_{2}[u$ –Cyclic and Constacyclic Codes]
- Maximum distance<tex>q</tex>-nary codes
This page was built for publication: Some results on \( \mathbb{Z}_p\mathbb{Z}_p[v] \)-additive cyclic codes
