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x -1 mod n

Abbreviation(s) and Synonym(s):

None

Definition(s):

  The multiplicative inverse of the integer x modulo the positive integer n. This quantity is defined if and only if x is relatively prime to n. For the purposes of this Recommendation, y = x-1 mod n is the unique integer satisfying the following two conditions:
Source(s):
NIST SP 800-56B Rev. 2

  The multiplicative inverse of the integer x modulo the positive integer n. This quantity is defined if and only if x is relatively prime to n. For the purposes of this Recommendation, y = x-1 mod n is the unique integer satisfying the following two conditions: 1) 0 £ y < n, and 2) 1 = (xy) mod n.
Source(s):
NIST SP 800-56B Rev. 1 [Superseded]