Title :
Kerdock codes over Z4 and their application to designs
Author :
Yang, Kyeongcheol ; Helleseth, Tor
Author_Institution :
Dept. of Electron. Commun. Eng., Hanyang Univ., Seoul, South Korea
Abstract :
We show that the support of the codewords of each type in the Kerdock code of length 2m over Z4 form 3-designs for any add integer m⩾3. In particular, two new infinite families of 3-designs are obtained in this construction for any odd integer m⩾3, whose parameters are v=2m, k=2m-1+2m-2±2(m-3)/2, and λ=k(k-1)(k-2)/2m-2
Keywords :
binary codes; nonlinear codes; 3-designs; binary nonlinear Kerdock code; code length; codewords; infinite families; Binary codes; Councils; Galois fields; Informatics; Sufficient conditions; Vectors;
Conference_Titel :
Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
Conference_Location :
Cambridge, MA
Print_ISBN :
0-7803-5000-6
DOI :
10.1109/ISIT.1998.709004
