Title :
Cocyclic simplex codes of type α over Z4 and Z2s
Author :
Pinnawala, Nimalsiri ; Rao, Asha
Author_Institution :
Dept. of Math. & Stat., R. Melbourne Inst. of Technol., Vic., Australia
Abstract :
Over the past decade, cocycles have been used to construct Hadamard and generalized Hadamard matrices. This, in turn, has led to the construction of codes-self-dual and others. Here we explore these ideas further to construct cocyclic complex and Butson-Hadamard matrices, and subsequently we use the matrices to construct simplex codes of type α over Z(4) and Z(2s), respectively.
Keywords :
Galois fields; Hadamard codes; Hadamard matrices; binary codes; cyclic codes; dual codes; linear codes; Butson-Hadamard matrix; cocyclic simplex codes; generalized Hadamard matrix; self-dual code; self-orthogonal codes; Error correction; Error correction codes; Galois fields; Indexing; Linear code; Machinery; Mathematics; Polynomials; Statistics; Butson; cocycle; complex Hadamard; exponent; quaternary; self-orthogonal; simplex codes; trace;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2004.833354
