Chinese Remainder Theorem
Let, and . The system of equations
has solutions in if and only if for all, where denotes the greatest common divisor (GCD) of and . Furthermore, under these conditions, the system has a unique solution in where, which denotes the least common multiple (LCM) of .
Read more about this topic: Secret Sharing Using The Chinese Remainder Theorem
Famous quotes containing the words remainder and/or theorem:
“Then I had only prisoners thoughts. I awaited the daily walk which I took in the yard, or my lawyers visit. I managed the remainder of my time very well. I have often thought that if I was made to live in a dry tree trunk, without any other occupation but to watch the flower of the sky above my head, I would have gradually gotten used to it.”
—Albert Camus (19131960)
“To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.”
—Albert Camus (19131960)