Geodesic
Construction of new Hadamard matrices using known Hadamard matrices
Filomat, Tome 36 (2022) no. 6, p. 2025

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, by the use of Latin squares, we describe a procedure to construct Hadamard matrices using the existing Hadamard matrices of order m as input matrices. We propose constructions of Hadamard matrices of orders m(m − 1), m(m 2 − 1) and m(m k − 1), where k is a multiple of four that divides m into an even number. This work is a continuation of our previous one in [5].
DOI : 10.2298/FIL2206025F
Classification : 15B34, 05B20
Keywords: Hadamard matrices, Scarpiś constructions, Paley type Hadamard matrices, Sylvester Hadamard matrices 
Adda Farouk; Qing-Wen Wang. Construction of new Hadamard matrices using known Hadamard matrices. Filomat, Tome 36 (2022) no. 6, p. 2025 . doi: 10.2298/FIL2206025F
@article{10_2298_FIL2206025F,
     author = {Adda Farouk and Qing-Wen Wang},
     title = {Construction of new {Hadamard} matrices using known {Hadamard} matrices},
     journal = {Filomat},
     pages = {2025 },
     year = {2022},
     volume = {36},
     number = {6},
     doi = {10.2298/FIL2206025F},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2206025F/}
}
TY  - JOUR
AU  - Adda Farouk
AU  - Qing-Wen Wang
TI  - Construction of new Hadamard matrices using known Hadamard matrices
JO  - Filomat
PY  - 2022
SP  - 2025 
VL  - 36
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2206025F/
DO  - 10.2298/FIL2206025F
LA  - en
ID  - 10_2298_FIL2206025F
ER  - 
%0 Journal Article
%A Adda Farouk
%A Qing-Wen Wang
%T Construction of new Hadamard matrices using known Hadamard matrices
%J Filomat
%D 2022
%P 2025 
%V 36
%N 6
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2206025F/
%R 10.2298/FIL2206025F
%G en
%F 10_2298_FIL2206025F

Cité par Sources :