Matrix-product codes over finite chain rings
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Publication:945009
DOI10.1007/s00200-008-0063-3zbMath1142.94389OpenAlexW2112742311MaRDI QIDQ945009
Publication date: 10 September 2008
Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00200-008-0063-3
Related Items (17)
Matrix-product structure of repeated-root cyclic codes over finite fields ⋮ Construction and decoding of matrix-product codes from nested codes ⋮ Determinants of some special matrices over commutative finite chain rings ⋮ On self-orthogonality and self-duality of matrix-product codes over commutative rings ⋮ On the structure of repeated-root polycyclic codes over local rings ⋮ New quantum codes from matrix-product codes over small fields ⋮ Construction of new quantum codes via Hermitian dual-containing matrix-product codes ⋮ Matrix product codes over finite commutative Frobenius rings ⋮ Homogeneous metric and matrix product codes over finite commutative principal ideal rings ⋮ DECODING OF MATRIX-PRODUCT CODES ⋮ Matrix-product codes over commutative rings and constructions arising from \((\sigma,\delta)\)-codes ⋮ Galois hulls of linear codes over finite fields ⋮ Homogeneous weights of matrix product codes over finite principal ideal rings ⋮ On matrix-product structure of repeated-root constacyclic codes over finite fields ⋮ New stabilizer codes from the construction of dual-containing matrix-product codes ⋮ The hulls of matrix-product codes over commutative rings and applications ⋮ Quantum codes over rings
Cites Work
- On the structure of linear and cyclic codes over a finite chain ring
- Finite-ring combinatorics and MacWilliams' equivalence theorem
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- A computer application to finite p-groups
- Two ``dual families of nearly-linear codes over \(\mathbb Z_p, p\) odd
- Matrix-product codes over \(\mathbb{F}_q\)
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