Izvorni znanstveni članak
Perfect 1-error-correcting Lipschitz weight codes
Olof Heden
; Department of Mathematics, Stockholm, Sweden
Murat Güzeltepe
; Department of Mathematics, Sakarya Universit, Sakarya, Turkey
Sažetak
Let $\pi$ be a Lipschitz prime and $p=\pi\pi^\star$. Perfect 1-error-correcting codes in $H(\mathbb{Z})_\pi^n$ are constructed for every prime number $p\equiv1(\bmod\;4)$. This completes a result of the authors in an earlier work, \emph{Perfect Mannheim, Lipschitz and Hurwitz weight codes}, (Mathematical Communications, Vol 19, No 2, pp. 253 -- 276 (2014)), where a construction is given in the case $p\equiv3\,(\bmod\;4)$.
Ključne riječi
Hrčak ID:
157696
URI
Datum izdavanja:
16.5.2016.
Posjeta: 1.013 *