Isometric embeddings of \({\mathbb Z}_{p^k}\) in the Hamming space \({\mathbb F}_{p}^{N}\) and \({\mathbb Z}_{p^k}\)-linear codes
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Publication:851783
DOI10.1007/s10623-006-9003-zzbMath1205.94131OpenAlexW2091184318MaRDI QIDQ851783
Publication date: 22 November 2006
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-006-9003-z
Cites Work
- A metric for codes over residue class rings
- On the extendability of code isometries
- Labelings of Lee and Hamming spaces
- Modular and \(p\)-adic cyclic codes
- Linearly representable codes over chain rings
- On the concept of code-isomorphy
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- On the isometries between Z(p/sup k/) and Z/sub p//sup k/
- Gray isometries for finite chain rings and a nonlinear ternary (36, 3/sup 12/, 15) code
- A Z/sub 8/-linear lift of the binary Golay code and a nonlinear binary (96,2/sup 37/,24)-code
- Z/sub 2/k-linear codes
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