Title :
On existence of Mersenne and Hadamard matrices
Author :
Balonin, Nickolay A. ; Sergeev, Mikhail B.
Author_Institution :
St.-Petersburg State Univ. of Aerosp. Instrum., St. Petersburg, Russia
Abstract :
There have been considered conditions of existence of Mersenne matrices. Analyzing conditions of existence of Belevitch matrices it has been shown that restrictions characteristic for integer matrices do not influence on matrices with rational and irrational values of elements to which Mersenne matrices belong. There has been given a dependency of elements values of an order of Mersenne matrices, the absence of critical points in the graph of this dependency has been shown. There has been commented a connection of conjectures of existence of Hadamard and Mersenne matrices.
Keywords :
Hadamard matrices; Belevitch matrix; Hadamard matrix; Mersenne matrix; element irrational values; integer matrices; Aerospace electronics; Buildings; Control systems; Educational institutions; Error correction; Error correction codes; Redundancy;
Conference_Titel :
Problems of Redundancy in Information and Control Systems (REDUNDANCY), 2014 XIV International Symposium on
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-4896-3
DOI :
10.1109/RED.2014.7016697
