New Construction of Generalized Hadamard Matrices

Authors :: Fanxin Zeng
Source :: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. :2380-2384
Publication Year :: 2009
Publisher :: Institute of Electronics, Information and Communications Engineers (IEICE), 2009.
Abstract: 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.

Subjects :: Discrete mathematics
Applied Mathematics
Hadamard's maximal determinant problem
Hadamard three-lines theorem
Computer Graphics and Computer-Aided Design
Hadamard's inequality
Combinatorics
Paley construction
Complex Hadamard matrix
Hadamard transform
Signal Processing
Hadamard product
Electrical and Electronic Engineering
Hadamard matrix
Mathematics

ISSN :: 17451337 and 09168508
Database :: OpenAIRE
Journal :: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Accession number :: edsair.doi...........a29ac5063d4cb59724dbe05648b6514d
Full Text :: https://doi.org/10.1587/transfun.e92.a.2380