'Index calculus method' presentation slideshows

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????????. ???? ????? ??? http://www.cs.nctu.edu.tw/~rjchen/ECC2012S/. Outline. [1] Discrete Logarithm Problem [2] Algorithms for Discrete Logarithm [3] Cryptosystems Based on DLP [4] Elliptic Curves [5] Elliptic Curve DLP [6] Signature Scheme: ECDSA [7] How to find secure ECs?

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????????. ???? ????? ??? http://www.cs.nctu.edu.tw/~rjchen/ECC2009/. Outline. [1] Discrete Logarithm Problem [2] Algorithms for Discrete Logarithm [3] Cryptosystems Based on DLP [4] Elliptic Curves [5] Elliptic Curve DLP [6] Signature Scheme: ECDSA [7] How to find secure ECs?

553 views • 55 slides

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????????. ???? ????? ??? http://www.cs.nctu.edu.tw/~rjchen/ECC2012S/. Outline. [1] Discrete Logarithm Problem [2] Algorithms for Discrete Logarithm [3] Cryptosystems Based on DLP [4] Elliptic Curves [5] Elliptic Curve DLP [6] Signature Scheme: ECDSA [7] How to find secure ECs?

551 views • 55 slides

Introduction to Modern Cryptography Homework assignments

Introduction to Modern Cryptography Homework assignments . Pollards p -1 factoring algorithm . Let B be a smoothness bound Let Q be the LCM of all prime powers ? B If ( p -1) is B -smooth then and for any a , gcd( a , p )=1, .

446 views • 31 slides

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RSA Variants

RSA Variants. Rabin Scheme(I). Scheme Select s.t. p and q = 3 mod 4 n=pq, public key = n , private key = p,q y= e k (x)=x (x+b) mod n x=d k (y)= ? y mod n Choose one of 4 solutions using redundancy Square root

316 views • 22 slides