Title :
Cocyclic Hadamard codes
Author :
Horadam, Kathy J. ; Udaya, Parampalli
Author_Institution :
Dept. of Math., R. Melbourne Inst. of Technol., Vic., Australia
fDate :
7/1/2000 12:00:00 AM
Abstract :
We demonstrate that many well-known binary, quaternary, and q-ary codes are cocyclic Hadamard codes; that is, derived from a cocyclic generalized Hadamard matrix or its equivalents. Nonlinear cocyclic Hadamard codes meet the generalized Plotkin bound. Using presemifield multiplication cocycles, we construct new equivalence classes of cocyclic Hadamard codes which meet the Plotkin bound
Keywords :
Hadamard codes; Hadamard matrices; binary codes; Plotkin bound; binary Hadamard codes; binary codes; cocyclic Hadamard codes; cocyclic generalized Hadamard matrix; convolutional codes; equivalence classes; generalized Plotkin bound; nonlinear cocyclic Hadamard codes; presemifield multiplication cocycles; q-ary codes; quaternary codes; Constraint theory; Equations; Error correction; Error correction codes; Galois fields; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on
