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PLoS One
October 2023
Almaty University of Power Engineering and Telecommunications Named After Gumarbek Daukeyev, Almaty, Republic of Kazakhstan.
An alternating representation of integers in binary form is proposed, in which the numbers -1 and +1 are used instead of zeros and ones. It is shown that such a representation creates considerable convenience for multiplication numbers modulo p = 2n+1. For such numbers, it is possible to implement a multiplication algorithm modulo p, similar to the multiplication algorithm modulo the Mersenne number.
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