2017 09 24 1 Prime Number Generation Prime
지장현 2017. 09. 24
1. Prime Number Generation Prime search for probable primes 3
1. Prime Number Generation Prime search for probable primes § Random search for a prime using the Miller-Rabin Test § MILLER-RABIN의 결과는 소수일 가능성이 높은 수임 4
1. Prime Number Generation Prime search for probable primes § Random search for a prime using the Miller-Rabin Test § 밀러라빈 테스트 전에 랜덤 정수 n은 작은 소수 의 divisor을 가질 확률이 크기 때문에 미리 결정된 B 보다 작은 소수를 이용하여 미리 테스트 함 5
1. Prime Number Generation Prime search for probable primes § Random search for a prime using the Miller-Rabin Test 6
1. Prime Number Generation Strong Prime § Definition Strong Prime § 위의 3개의 조건을 만족하는 r, s, t가 존재하면 prime p는 strong prime 7
1. Prime Number Generation Strong Prime § Gordon’s algorithm for generating a strong prime § 결과 8
1. Prime Number Generation Strong Prime § Gordon’s algorithm for generating a strong prime 9
1. Prime Number Generation NIST method for generating DSA primes 11
1. Prime Number Generation NIST method for generating DSA primes 12
1. Prime Number Generation Constructive techniques for provable primes 13
1. Prime Number Generation Constructive techniques for provable primes § Maurer’s algorithm for generating provable primes 14
1. Prime Number Generation Constructive techniques for provable primes § Maurer’s algorithm for generating provable primes 15
1. Prime Number Generation Constructive techniques for provable primes § Maurer’s algorithm for generating provable primes 16
1. Prime Number Generation Constructive techniques for provable primes 17
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Testing a polynomial for irreducibility 21
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Irreducible trinomials 23
Irreducible trinomials 24
Primitive polynomials 25
Primitive polynomials 26
3. Generators and elements of high order Determining the order of a group element 27
3. Generators and elements of high order Finding a generator of a cyclic group 28
3. Generators and elements of high order 29
3. Generators and elements of high order 30
3. Generators and elements of high order 31
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