Improved even order magic square construction algorithms and their applications in multi-user shared electronic accounts

Abstract

This paper presents improved even order magic square construction algorithms, including both single even order magic square and double even order magic square construction algorithms. Further, in order to show how the algorithms work, two specific magic squares are constructed. Moreover, the correctness of the algorithms is proved, and the complexity analysis of the algorithms is given. Finally, the improved even order magic square construction algorithms are applied in secure communication and authentication areas for multi-user shared electronic account in detail.