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More Flexible Exponentiation with Precomputation (1994)  (Make Corrections)  (36 citations)
Chae Hoon Lim, Pil Joong Lee
Lecture Notes in Computer Science



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Abstract: A new precomputation method is presented for computing g R for a fixed element g and a randomly chosen exponent R in a given group. Our method is more efficient and flexible than the previously proposed methods, especially in the case where the amount of storage available is very small or quite large. It is also very efficient in computing g R y E for a small size E and variable number y, which occurs in the verification of Schnorr's identification scheme or its variants. Finally it ... (Update)

Cited by:   More
Efficient Primitives from Exponentiation in Z_p - Jiang (2006)   (Correct)
Improving Secure Server Performance by Re-balancing.. - Castelluccia.. (2005)   (Correct)
Efficient Comb Elliptic Curve Multiplication Methods.. - Feng, Zhu, Xu, Li (2005)   (Correct)

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0.3:   Sparse RSA Secret Keys and Their Generation - Lim, Lee (1996)   (Correct)
0.2:   Fast Modular Reduction With Precomputation - Lim, Hwang, Lee   (Correct)
0.2:   Efficiency and Security of Cryptosystems based on Number Theory - Bleichenbacher (1996)   (Correct)

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0.6:   A Key Recovery Attack on Discrete Log-based Schemes Using a.. - Lim, Lee (1997)   (Correct)
0.6:   Server(Prover/Signer)-Aided Verification of Identity Proofs and.. - Lim, Lee   (Correct)
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18:   Fast exponentiation with precomputation (context) - Brickell, Gordon et al. - 1992
16:   A method for obtaining digital signatures and public-key cryptosystems; Communic.. - Rivest, Shamir et al. - 1978
14:   Efficient Signature Generation by Smart Cards (context) - Schnorr - 1991

BibTeX entry:   (Update)

C.H.Lim and P.J.Lee : `More flexible exponentiation with precomputation', Advances in Cryptology-Crypto'94, Springer-Verlag, pp.95-107 (1994). http://citeseer.ist.psu.edu/lim94more.html   More

@article{ lim94more,
    author = "Chae Hoon Lim and Pil Joong Lee",
    title = "More Flexible Exponentiation with Precomputation",
    journal = "Lecture Notes in Computer Science",
    volume = "839",
    pages = "95--107",
    year = "1994",
    url = "citeseer.ist.psu.edu/lim94more.html" }
Citations (may not include all citations):
2003   The art of computer programming (context) - Knuth - 1981
1529   A method for obtaining digital signatures and public-key cry.. - Rivest, Shamir et al. - 1978
147   Efficient signature generation by smart cards (context) - Schnorr - 1991
89   Fast exponentiation with precomputation (context) - Brickell, Gordon et al. - 1992
63   Provably secure and practical identification schemes and cor.. (context) - Okamoto - 1992
34   An interactive identification scheme based on discrete logar.. (context) - Brickell, McCurley - 1992
24   Addition chain heuristics (context) - Bos, Coster - 1990
19   A proposed Federal information processing standard for digit.. (context) - information, for et al. - 1991
18   Computing sequences with addition chains (context) - Downey, Leony et al. - 1981
12   Minimum weight modified signed-digit representations and fas.. (context) - Jedwab, Mitchell - 1989
12   Basic digit sets for radix representation (context) - Matula - 1982
10   Resource requirements for the application of addition chains.. (context) - Sauerbrey, Dietel - 1992
5   An improved binary algorithm for RSA (context) - Zhang - 1993
1   A public key cryptosystem and a signature scheme based on th.. (context) - ElGmal - 1985



The graph only includes citing articles where the year of publication is known.


Documents on the same site (http://wooly.postech.ac.kr/library/publication.html):   More
Modified Maurer-Yacobi's scheme and its applications - Lim, Lee (1993)   (Correct)
Remarks on the Use of RSA Moduli With Prespecified Bits - Chae Hoon   (Correct)
Message Encryption and Authentication Using One-Way Hash Functions - Lim (1996)   (Correct)

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