Title :
A note on the q-ary image of a qm-ary repeated-root cyclic code
Author :
Tang, Li-zhong ; Soh, Cheong Boon ; Gunawan, Erry
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Inst., Singapore
fDate :
3/1/1997 12:00:00 AM
Abstract :
For (n,q)=ps, where p=ch(Fq), s⩾1, V a q m-ary repeated-root cyclic code of length n with generator polynomial g(x), we give a partial answer about whether the q-ary image of V is cyclic or not with respect to a certain basis for Fqm over Fq
Keywords :
cyclic codes; linear codes; polynomials; generator polynomial; q-ary image; qm-ary repeated-root cyclic code; Galois fields; Linear code; Polynomials; Power engineering and energy;
Journal_Title :
Information Theory, IEEE Transactions on