2021/05/19 by Sharipov, Ruslan
#05B20 #11D04 #11D09 #15B34 #15B36 #65-04 #Combinatorics (math.CO) #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences #FOS: Mathematics #I.1.2 #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2105.08974
Hadamard matrices in \0,1\ presentation are square m× m matrices whose entries are zeros and ones and whose rows considered as vectors in \Bbb Rm produce the Gram matrix of a special form with respect to the standard scalar product in \Bbb Rm. The concept of Hadamard matrices is extended in the present paper. As a result pseudo-Hadamard matrices of the first generation are defined and investigated. An algorithm for generating these pseudo-Hadamard matrices is designed and is used for testing some conjectures.