DocumentCode :
1381617
Title :
Minimum-weight codewords as generators of generalized Reed-Muller codes
Author :
Ding, Peng ; Key, Jennifer D.
Author_Institution :
Dept. of Math. Sci., Clemson Univ., SC, USA
Volume :
46
Issue :
6
fYear :
2000
fDate :
9/1/2000 12:00:00 AM
Firstpage :
2152
Lastpage :
2158
Abstract :
We establish the range of values of ρ, where 0⩽ρ⩽m(q-1), for which the generalized Reed-Muller code RFq(ρ, m) of length qm over the field Fq of order q is spanned by its minimum-weight vectors
Keywords :
Reed-Muller codes; MDS codes; code length; extended Reed-Solomon codes; generalized Reed-Muller codes; maximum-distance-separable codes; minimum-weight codewords; minimum-weight vectors; Codes; Geometry; Helium; Polynomials; Power generation; Terminology; Vectors;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/18.868484
Filename :
868484
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=1381617
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