The covering radius of the (128,8) Reed-Muller code is 56 (Corresp.)
- 1 May 1980
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 26 (3) , 359-362
- https://doi.org/10.1109/tit.1980.1056187
Abstract
Letr_{i}be the covering radius of the(2^{i},i+ 1)Reed-Muller code. It is an open question whetherr_{2m+1}=2^{2_{m}}-2mholds for allm. It is known to be true form=0,1,2, and here it is shown to be also true form=3.Keywords
This publication has 2 references indexed in Scilit:
- On the covering radius of binary codes (Corresp.)IEEE Transactions on Information Theory, 1978
- Weight distributions of the cosets of the (32,6) Reed-Muller codeIEEE Transactions on Information Theory, 1972