New Construction of Generalized Hadamard Matrices
Based on trace function over finite field GF(p(n)), new construction of generalized Hadamard matrices with order p(n) 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.
generalized hadamard matrices trace function linear span cyclical equivalence