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单词 Elliptic Group Modulo p
释义

Elliptic Group Modulo p

denotes the elliptic Group modulo whose elements are and together with the pairs ofIntegers with satisfying

(1)

with and Integers such that
(2)

Given , define
(3)

The Order of is given by
(4)

where is the Legendre Symbol, although this Formula quickly becomes impractical. However, ithas been proven that
(5)

Furthermore, for a Prime and Integer in the above interval, there exists and such that
(6)

and the orders of elliptic Groups mod are nearly uniformly distributed in the interval.
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更新时间:2025/4/4 8:07:58