Enhanced Technique of Constructing Multiple ODD Magic Square Matrices
Salam Samarendra Singh *
Department of Mathematics, G.P. Women’s College, DMU, Imphal- 795001, India.
Ngasham Amarjit Singh
Department of Mathematics, DMU, Imphal – 795001, India.
Nahakpam Daniel Mangang
Department of Mathematics, DMU, Imphal – 795001, India.
Khundrakpam Saratchandra Singh
Department of Physics, D. J. College, Baraut – 250611, India.
*Author to whom correspondence should be addressed.
Abstract
An enhanced technique of constructing multiple odd magic square matrices is proposed in this work. A specific rule of establishing improved odd magic to magic squares derived from the odd algebraic Latin squares is studied and programmed here. Magic squares are practically important from the properties of their equality in the sum of rows, columns and diagonals. An n x n odd magic square is an array containing the positive integers from 1 to n2, arranged so that each of the rows, columns, and the two principal diagonals have the same sum.
Keywords: Latin squares, magic squares, pivot element, vertical and horizontal pivot elements, OMS, elliptic curves