Journal article
Cocyclic Hadamard codes
KJ Horadam, P Udaya
IEEE Transactions on Information Theory | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC | Published : 2000
DOI: 10.1109/18.850692
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.