Generalized Reed-Muller codes over \({\mathbb{Z}_q}\)
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Publication:849363
DOI10.1007/s10623-009-9315-xzbMath1187.94043OpenAlexW2088619426MaRDI QIDQ849363
Siri Krishan Wasan, Maheshanand Bhaintwal
Publication date: 25 February 2010
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-009-9315-x
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Other types of codes (94B60) Cyclic codes (94B15)
Related Items
Lattices from codes over \(\mathbb {Z}_q\): generalization of constructions \(D\), \(D'\) and \(\overline{D}\), On Reed-Muller codes over \(\mathbb F_2+u\mathbb F_2\) and some applications
Cites Work
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- On quasi-cyclic codes over \({\mathbb{Z}_q}\)
- On the structure of linear and cyclic codes over a finite chain ring
- Modular and \(p\)-adic cyclic codes
- A transform approach to permutation groups of cyclic codes over Galois rings
- Quaternary Reed–Muller Codes
- Affine Invariant Extended Cyclic Codes Over Galois Rings
- On BCH codes over arbitrary integer tings (Corresp.)
- On codes over<tex>Z_m</tex>(Corresp.)
- Zeros of Functions in Finite Abelian Group Algebras
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- The permutation group of affine-invariant extended cyclic codes
- Fundamentals of Error-Correcting Codes
- Generalized Reed-Muller codes and power control in OFDM modulation
- Quasi-cyclic codes over Z/sub 4/ and some new binary codes
- Cyclic codes and quadratic residue codes over Z/sub 4/
- New generalizations of the Reed-Muller codes--I: Primitive codes
- New generalizations of the Reed-Muller codes--II: Nonprimitive codes
- Some results on cyclic codes which are invariant under the affine group and their applications
- Codes over certain rings
- On generalized ReedMuller codes and their relatives
