Title :
The Reed-Muller code R(r,m) is not Z4-linear for 3⩽r⩽m-2
Author :
Hou, Xiang-Dong ; Lahtonen, Jyrki T. ; Koponen, Sami
Author_Institution :
Dept. of Math. & Stat., Wright State Univ., Dayton, OH, USA
fDate :
3/1/1998 12:00:00 AM
Abstract :
After a discussion of automorphisms of Reed-Muller codes the authors show that the Reed-Muller code R(r,m) is not Z4 -linear for 3⩽r⩽m-2, proving a conjecture by Hammons, Kumar, Calderbank, Sloane, and Sole (1994)
Keywords :
Reed-Muller codes; Reed-Muller code R(r,m); automorphisms; binary codes; Automata; Binary codes; Context modeling; Data compression; Entropy; Equations; Information theory; Linear code; Publishing; Source coding;
Journal_Title :
Information Theory, IEEE Transactions on
