Title :
On the non-minimal codewords in the binary Reed-Muller code
Author :
Borissov, Yuri ; Manev, Nickolay ; Nikova, Svetla
Author_Institution :
Inst. of Math. & Inf., Bulgarian Acad. of Sci., Sofia, Bulgaria
Abstract :
We prove that all codewords of weight greater than 2m-2 m-r+1 in the binary Reed-Muller code of order r are non-minimal
Keywords :
Reed-Muller codes; binary codes; binary Reed-Muller code; nonminimal codewords; Boolean functions; Discrete wavelet transforms; Informatics; Linear code; Mathematics; Vectors;
Conference_Titel :
Information Theory, 2001. Proceedings. 2001 IEEE International Symposium on
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-7123-2
DOI :
10.1109/ISIT.2001.935902