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ASIACRYPT
2003
Springer
13 years 10 months ago
Index Calculus Attack for Hyperelliptic Curves of Small Genus
We present a variation of the index calculus attack by Gaudry which can be used to solve the discrete logarithm problem in the Jacobian of hyperelliptic curves. The new algorithm h...
Nicolas Thériault
ASIACRYPT
2003
Springer
13 years 10 months ago
Rotations and Translations of Number Field Sieve Polynomials
We present an algorithm that finds polynomials with many roots modulo many primes by rotating candidate Number Field Sieve polynomials using the Chinese Remainder Theorem. We also...
Jason E. Gower
ASIACRYPT
2003
Springer
13 years 10 months ago
Some RSA-Based Encryption Schemes with Tight Security Reduction
In this paper, we study some RSA-based semantically secure encryption schemes (IND-CPA) in the standard model. We first derive the exactly tight one-wayness of Rabin-Paillier encr...
Kaoru Kurosawa, Tsuyoshi Takagi
ASIACRYPT
2003
Springer
13 years 8 months ago
Parallelizing Explicit Formula for Arithmetic in the Jacobian of Hyperelliptic Curves
One of the recent thrust areas in research on hyperelliptic curve cryptography has been to obtain explicit formulae for performing arithmetic in the Jacobian of such curves. We con...
Pradeep Kumar Mishra, Palash Sarkar
ASIACRYPT
2003
Springer
13 years 10 months ago
The Secret and Beauty of Ancient Chinese Padlocks
Most ancient Chinese padlocks are key-operated locks with splitting springs, and partially keyless letter-combination locks. They can be characterized based on the types of locks, ...
Hong-Sen Yan, Hsing-Hui Huang