The theory of cyclic codes and a generalization to additive codes
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Publication:1598872
DOI10.1023/A:1013808515797zbMath1005.94025MaRDI QIDQ1598872
Publication date: 28 May 2002
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Related Items (28)
When do quasi-cyclic codes have $\mathbb F_{q^l}$-linear image? ⋮ \(\mathbb{Z}_4\mathbb{Z}_4 [u\)-additive cyclic and constacyclic codes] ⋮ Hyper-bent functions and cyclic codes ⋮ Some Maximal Function Fields and Additive Polynomials ⋮ Cyclic additive codes ⋮ On complementary dual additive cyclic codes ⋮ On the additive cyclic structure of quasi-cyclic codes ⋮ The Galois variance of constacyclic codes ⋮ Additive \(G\)-codes over \(\mathbb{F}_q\) and their dualities ⋮ A class of constacyclic codes are generalized Reed-Solomon codes ⋮ Steane enlargement of entanglement-assisted quantum error-correcting codes ⋮ On the equivalence of linear cyclic and constacyclic codes ⋮ On \(\mathbb{Z}_4\mathbb{Z}_4[u^3 \)-additive constacyclic codes] ⋮ Private information retrieval schemes using cyclic codes ⋮ Entanglement-assisted quantum error-correcting codes from subfield subcodes of projective Reed-Solomon codes ⋮ Subfield subcodes of projective Reed-Muller codes ⋮ Entanglement-assisted quantum error-correcting codes from RS codes and BCH codes with extension degree 2 ⋮ Additive codes over Galois rings ⋮ Contraction of cyclic codes over finite chain rings ⋮ \(\mathbb{F}_q\)-linear codes over \(\mathbb{F}_q\)-algebras ⋮ Hasse-Weil bound for additive cyclic codes ⋮ Cyclic \(R\)-additive codes ⋮ Galois invariance, trace codes and subfield subcodes ⋮ Singleton bounds for \(R\)-additive codes ⋮ Unnamed Item ⋮ Caps of order 3\(q^{2}\) in affine 4-space in characteristic 2 ⋮ A family of binary \((t,m,s)\)-nets of strength 5. ⋮ Direct constructions of additive codes
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