WebThe classical design of cocyclic Hadamard matrices has recently been generalized by means of both the notions of the cocycle of Hadamard matrices over Latin rectangles … WebJan 19, 2024 · Codes from generalized Hadamard matrices have already been introduced. Here we deal with these codes when the generalized Hadamard matrices are cocyclic. As a consequence, a new class of codes that we call generalized Hadamard full propelinear codes turns out. We prove that their existence is equivalent to the existence of central …
arXiv:2304.05446v1 [math.CO] 11 Apr 2024
WebNallı, A. (2010) "On The Norms of Circulans Matrices With Generalized Fibonacci Numbers", Selcuk Journal of Applied Mathematics, 1 (11) pp. 107-116 Link : ... Nallı, A. (2007) "On the Hadamard Product of Golden Matrices", International Journal of Contemporary Mathematical Sciences, 11 (2) ... WebJul 26, 2008 · It is proved that any generalized Hadamard matrix H (q, λ) over Fq, q > 3, or q = 3 and gcd (3, κ) ≠ 1, generates a self-orthogonal code, which puts a natural upper bound on the rank of the generalized hadamard matrices. 15 PDF ... 1 2 3 4 ... References SHOWING 1-10 OF 33 REFERENCES SORT BY On Rank and Kernel of Z4-Linear Codes open weave boxy cropped sweater
On difference matrices, resolvable transversal designs and generalized ...
Web2012. TLDR. This work revisits the well known matrix construction method based on one of the most popular classes of p --- ary pseudo-random sequences and shows that both the … WebEnter the email address you signed up with and we'll email you a reset link. WebGeneralized Hadamard matrices H (p, h) were introduced by Butson (1962) who proved that, when p is a prime, they can only exist for orders h = pt. Connections with other combinatorial notions, for instance maximal length recurring sequences (Zierler, 1959), were pointed out by Butson (1963), Shrikhande (1964), Turyn (1967), and Delsarte (1968) … ipeds institution size