ISSN:
1573-7586
Keywords:
Z 4-linear codes
;
Goethals code
;
Delsarte-Goethals code
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract The Goethals code is a binary nonlinear code of length 2m+1 which has $$\zeta _p$$ codewords and minimum Hamming distance 8 for any odd $$m \geqslant 3$$ . Recently, Hammons et. al. showed that codes with the same weight distribution can be obtained via the Gray map from a linear code over Z 4of length 2m and Lee distance 8. The Gray map of the dual of the corresponding Z 4 code is a Delsarte-Goethals code. We construct codes over Z 4 such that their Gray maps lead to codes with the same weight distribution as the Goethals codes and the Delsarte-Goethals codes.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1027376421176
