The extension problem for Lee and Euclidean weights

Year 2017, Volume: 4 Issue: 2 (Special Issue: Noncommutative rings and their applications), 207 - 217, 10.01.2017

Philippe Langevin Jay A. Wood

https://doi.org/10.13069/jacodesmath.284970

Cited By: 4

https://izlik.org/JA62UD37ET

Abstract

The extension problem is solved for the Lee and Euclidean weights over three families of rings of the form $\Z/N\Z$: $N=2^{\ell + 1}$, $N=3^{\ell + 1}$, or $N=p=2q+1$ with $p$ and $q$ prime. The extension problem is solved for the Euclidean PSK weight over $\Z/N\Z$ for all $N$.

Keywords

Extension problem , Lee weight , Euclidean weight , Egalitarian weight

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