Title :
On the covering radius of R(1, m) in R(3, m)
Author_Institution :
Dept. of Math. & Stat., Wright State Univ., Dayton, OH, USA
fDate :
5/1/1996 12:00:00 AM
Abstract :
We prove that the covering radius of R(1, 11) in R(3, 11) is 992, and that the covering radius of R(1, 13) in R(3, 13) is 4032, both not exceeding the quadratic bound
Keywords :
Reed-Muller codes; Reed-Muller codes; algebra; covering radius; quadratic bound; Algebra; Fourier transforms; Hamming distance; Hamming weight; Mathematics; Portable media players; Statistics;
Journal_Title :
Information Theory, IEEE Transactions on
