Title :
Quantum codes from cyclic codes over GF(4m)
Author :
Thangaraj, Andrew ; McLaughlin, Steven W.
Author_Institution :
Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
fDate :
3/1/2001 12:00:00 AM
Abstract :
We provide a construction for quantum codes (Hermitian-self-orthogonal codes over GF(4)) starting from cyclic codes over GF(4m). We also provide examples of these codes some of which meet the known bounds for quantum codes
Keywords :
BCH codes; Galois fields; cyclic codes; quantum communication; BCH codes; GF(4m); Hermitian-self-orthogonal codes; code construction; cyclic codes; q-ary images; quantum codes; Galois fields; Information theory; Linear code; Quantum mechanics; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on