Abstract
The extension theorem is proved for the Lee and Euclidean weights over the integer residue ring \(\mathbb {Z}_m\), for \(m \ge 2\).
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Dyshko, S. The extension theorem for Lee and Euclidean weight codes over integer residue rings. Des. Codes Cryptogr. 87, 1253–1269 (2019). https://doi.org/10.1007/s10623-018-0521-2
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DOI: https://doi.org/10.1007/s10623-018-0521-2
Keywords
- Lee weight
- Euclidean weight
- MacWilliams extension theorem
- Weight preserving map
- Ring alphabet
- Fourier transform