ISSN:
1572-9168
Keywords:
linear code
;
self-dual code
;
weight enumerator
;
MacWilliams identities
;
Gleason's theorem
;
projective plane
;
configuration
;
quadrangle
;
oval
;
blocking set.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We outline the determination of the weight enumerator of the code of the projective plane of order 5 by hand. The main tools used are a version of Gleason's theorem on the enumerators of self-dual codes and geometric descriptions of codewords of low weight. This paper is in part a condensation of the companion paper (Nota di Mat.) that contains full details.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1005088712217