New Construction of Generalized Hadamard Matrices

Fanxin ZENG  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E92-A   No.9   pp.2380-2384
Publication Date: 2009/09/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E92.A.2380
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Information Theory
generalized Hadamard matrices,  trace function,  cyclical equivalence,  linear span,  

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Based on trace function over finite field GF(pn ), new construction of generalized Hadamard matrices with order pn is presented, where p is prime and n is even. The rows in new generalized Hadamard matrices are cyclically distinct and have large linear span, which greatly improves the security of the system employing them as spreading sequences.