Title :
There exists no Hermitian self-dual quaternary [26,13,10]4 code
Author :
Östergård, Patric R J
Author_Institution :
Dept. of Electr. & Commun. Eng., Helsinki Univ. of Technol., Finland
Abstract :
Hermitian self-dual quaternary codes exist for all even lengths. The smallest length for which the maximum possible minimum distance of such codes is undetermined is 26; it is then either 8 or 10. By exhaustive computer search this case is settled; it is shown that minimum distance 10 is impossible for these parameters.
Keywords :
dual codes; linear codes; telecommunication computing; Hermitian self-dual quaternary code; computer search; linear codes; Galois fields; Linear code; Parity check codes; 65; Quaternary codes; self-dual codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2004.838349
