Title :
Cocyclic Hadamard codes from semifields
Author :
Udaya, P. ; Horadam, K.
Author_Institution :
Dept. of Comput. Sci., Melbourne Univ., Parkville, Vic., Australia
Abstract :
We construct new cocyclic generalised Hadamard matrices using semifield multiplication. The matrices used are constructed from cocycles defined over elementary abelian groups. These constructions naturally yield generalised Hadamard codes meeting the Plotkin bound
Keywords :
Galois fields; Hadamard codes; Hadamard matrices; cyclic codes; group codes; Plotkin bound; cocyclic Hadamard codes; elementary abelian groups; generalised Hadamard matrices; semifield multiplication; Australia Council; Computer science; Equations; Error correction; Error correction codes; Galois fields; Mathematics; Polynomials; Symmetric matrices;
Conference_Titel :
Information Theory, 2000. Proceedings. IEEE International Symposium on
Conference_Location :
Sorrento
Print_ISBN :
0-7803-5857-0
DOI :
10.1109/ISIT.2000.866321
