12 search results - page 1 / 3 » Generalized Hamming Weights of q-ary Reed-Muller Codes |
TIT
1998
13 years 4 months ago
1998
The order bound on generalized Hamming weights is introduced in a general setting of codes on varieties which comprises both the one point geometric Goppa codes as the q-ary Reed-M...
CORR
2010
Springer
13 years 5 months ago
2010
Springer
We give a new proof of Delsarte, Goethals and Mac williams theorem on minimal weight codewords of generalized Reed-Muller codes published in 1970. To prove this theorem, we consid...
DCC
2002
IEEE
14 years 4 months ago
2002
IEEE
We use methods of Mortimer [19] to examine the subcodes spanned by minimumweight vectors of the projective generalized Reed-Muller codes and their duals. These methods provide a p...
DCC
2008
IEEE
14 years 4 months ago
2008
IEEE
: Not much is known about the weight distribution of the generalized Reed-Muller code RMq(s, m) when q > 2, s > 2 and m 2 . Even the second weight is only known for values o...
TIT
2010
12 years 11 months ago
2010
We consider a new class of linear codes, called affine Grassmann codes. These can be viewed as a variant of generalized Reed-Muller codes and are closely related to Grassmann codes...