... factoring algorithm.) Williams' p + 1-method appears in 1982 in [305]. The continued fraction method (CFRAC) is ... cubic sieve method is described in Lenstra and Lenstra [165]. The theoretically superior number field sieve method follows ...
... 2011, Proceedings Yuval Ishai. end, we consider a simple modification to the UC framework where the adversary is allowed to choose (before the start of the protocol) the setups ... F1 ,...,F n be n ideal functionalities, where ∀i,F i is ...
Theory of Cryptography: 8th Theory of Cryptography Conference, TCC 2011, Providence, RI, USA, March 28-30, 2011, Proceedings
... example, there is often a need to specify a decryption policy in the ciphertext and only individuals who satisfy the policy can decrypt. More generally, we may want to only give access to a function of the plaintext, depending on the ...
Theory of Cryptography: Fifth Theory of Cryptography Conference, TCC 2008, New York, USA, March 19-21, 2008, Proceedings
... linear communication complexity. This can be seen as an efficiency ... Model We consider a set U of users, who can give input and receive output ... message which is not in the right domain (e.g., no message at all), he replaces it with ...
Theory of Cryptography: 7th Theory of Cryptography Conference, TCC 2010, Zurich, Switzerland, February 9-11, 2010, Proceedings
... 2. SimS calls AT dom order. (Recall, with queries SimS has (v obtained 0 ,v1) ... cheatS to the trusted party. i. If the trusted party replies with corruptedS ... Sim i⊕b' S to AS (recall, y receives the final ∈ message Dt, so this from ...
Theory of Cryptography: 9th Theory of Cryptography Conference, TCC 2012, Taormina, Sicily, Italy, March 19-21, 2012. Proceedings
... algorithm can use a breaker of the scheme ( in a black - box way ) to sample some unsamplable distribution . Note ... factoring . It follows that given any adversary F to Σ9 , the algorithm RG , FG factors integers too well . Assume ...
Theory of Cryptography: 7th Theory of Cryptography Conference, TCC 2010, Zurich, Switzerland, February 9-11, 2010, Proceedings
... SimS will determine whether AT wants to cheat.For this, SimS first obtains both opening keys from AS, by rewinding AS and setting up different test domains. More specifically: (a) SimS chooses two random strings kD and kD, which define two ...
Theory of Cryptography: 10th Theory of Cryptography Conference, TCC 2013, Tokyo, Japan, March 3-6, 2013. Proceedings
... [2] is zero-knowledge in the bounded concurrency model where the concurrent ... SIM consists of two main parts, namely, SIMeasy and SIMextract. Loosely ... cheats in the 〈PpB ,VpB〉 N protocol by committing to an augmented verifier ...
Public Key Cryptography – PKC 2008: 11th International Workshop on Practice and Theory in Public-Key Cryptography, Barcelona, Spain, March 9-12, 2008, Proceedings
... Hamming Weight Product Exponents Sungwook Kim and Jung Hee Cheon Department of Mathematical Sciences and ISaC-RIM, Seoul National University, Seoul, 151-747, Korea {avell7,jhcheon}@snu.ac.kr Abstract. A low Hamming weight product (LHWP) ...
Public-Key Cryptography -- PKC 2014: 17th International Conference on Practice and Theory in Public-Key Cryptography, Buenos Aires, Argentina, March 26-28, 2014, Proceedings
... Alg. 2 1.8 hours 11.8 days 4038 years Speed-up 77 207 435 β 2 0.5460 0.5271 0.5155 0.5091 0.5077 product 0.9600 ... factoring with high bits known. In: Maurer, U.M. (ed.) EUROCRYPT 1996. LNCS, vol. 1070, pp. 178–189. Springer, Heidelberg ...
Public Key Cryptography - PKC 2010: 13th International Conference on Practice and Theory in Public Key Cryptography, Paris, France, May 26-28, 2010, Proceedings
... exponentiation. If we assume for the moment also that m ≈ s, then our squaring takes approximately 2/3-rds the time of the Stam-Lenstra result in the third column. In comparison with the final column, one sees that we beat this ...
Public Key Cryptography -- PKC 2004: 7th International Workshop on Theory and Practice in Public Key Cryptography, Singapore, March 1-4, 2004
7th International Workshop on Theory and Practice in Public Key Cryptography, Singapore, March 1-4, 2004 Feng Bao, Robert Deng, Jianying Zhou. Given m, n, q we call MQ the problem of finding one (not necessarily all) solutions to such a ...
Public Key Cryptography - PKC 2007: 10th International Conference on Practice and Theory in Public-Key Cryptography, Beijing, China, April 16-20, 2007, Proceedings
10th International Conference on Practice and Theory in Public-Key Cryptography, Beijing, China, April 16-20, 2007, Proceedings Tatsuaki Okamoto, Xiaoyun Wang. Table 1. Comparison of different secure solutions for [x>y] 77m|q| Integer ...
Public Key Cryptography -- PKC 2011: 14th International Conference on Practice and Theory in Public Key Cryptography, Taormina, Italy, March 6-9, 2011, Proceedings
... decryption oracle in the mixed CCA experiment accepts the queries. For example, (s2p3) denotes two single decryption queries followed by three parallel decryption queries. We denote by “unbound” a special sequence that indicates ...
Public-Key Cryptography – PKC 2023: 26th IACR International Conference on Practice and Theory of Public-Key Cryptography, Atlanta, GA, USA, May 7–10, 2023, Proceedings, Part I
... Dummit, D.S., Foote, R.M.: Abstract Algebra, 3rd edn. John Wiley and Sons, USA (2003) 14. Fiat, A., Shamir, A.: How to prove yourself: practical solutions to identification and signature problems. In: Odlyzko, A.M. (ed.) CRYPTO 1986 ...
Public Key Cryptography -- PKC 2012: 15th International Conference on Practice and Theory in Public Key Cryptography, Darmstadt, Germany, May 21-23, 2012, Proceedings
... tag space for the trapdoor function is the set U C R. For any tag u e U, define the row vector u := (u", u', . . . , u") e R" (where 0" = 1) and the derived matrix for tag u to be A. "A or Gl-u. A to G|| ". By the condition in Lemma 3 R ...
Public-Key Cryptography – PKC 2017: 20th IACR International Conference on Practice and Theory in Public-Key Cryptography, Amsterdam, The Netherlands, March 28-31, 2017, Proceedings, Part I
... PPT reduction algorithm B that plays the pseudorandom generator security game. B first receives a PRG challenge T ... generator. Claim 2. If iO is a secure indistinguishability obfuscator, then for all PPT A, |Adv2 − Adv3| ≤ negl(λ) ...
Public Key Cryptography - PKC 2005: 8th International Workshop on Theory and Practice in Public Key Cryptography
... New York University, 251 Mercer Street, New York, NY 10012, USA dodis@cs.nyu.edu 2 Department of Computer Science ... (VRF) on bilinear groups. Our construction is direct. In contrast to prior VRF constructions [14, 15], it avoids using ...
Public Key Cryptography -- PKC 2004: 7th International Workshop on Theory and Practice in Public Key Cryptography, Singapore, March 1-4, 2004
... Generator: A CDH parameter generator IGCDH is a PPT algorithm that takes a security parameter 1k, runs in polynomial time, and outputs an additive group G of prime order q. Computational Diffie-Hellman (CDH) problem in G: Informally ...
Public Key Cryptography - PKC 2006: 9th International Conference on Theory and Practice in Public-Key Cryptography, New York, NY, USA, April 24-26, 2006. Proceedings
... TAU technique if |p − 2l| ≤ 2l/2, is upper bounded by (1 + √ 2)/ √ 2l according to Lemmas 10 and 8. Note 12. However, in an actual scheme, the bit b many not be perfectly uniformly distributed, but biased in a negligible way. Anyway ...
Public Key Cryptography - PKC 2003: 6th International Workshop on Theory and Practice in Public Key Cryptography, Miami, FL, USA, January 6-8, 2003, Proceedings
... New York University, USA dodis@cs.nyu.edu Abstract. We give the first simple and efficient construction of ... VRF value is correctly computed). The efficiency of our VRF construction is only slightly worse than that of a regular PRF ...
State of the Art in Applied Cryptography: Course on Computer Security and Industrial Cryptography, Leuven, Belgium, June 3-6, 1997 Revised Lectures
... key MK secret. Anybody coming into possession of this key could, if he/she ... SIMs. The method can also lead to the production of "identical" SIMs. If the ... code book mode [15], we can also see that the times required for providing a ...
Cryptography Algorithms: A guide to algorithms in blockchain, quantum cryptography, zero-knowledge protocols, and homomorphic encryption
What you will learnUnderstand key cryptography concepts, algorithms, protocols, and standardsBreak some of the most popular cryptographic algorithmsBuild and implement algorithms efficientlyGain insights into new methods of attack on RSA ...
The Modern Cryptography Cookbook: Learn Crypto Principle to Applied Cryptography with example
This book have concepts, examples of Cryptography principle followed with Applied Cryptography. Chapters presented in this book are independent and can be read in any order. Most of the example utilizes openssl.
Algebraic Methods in Cryptography: AMS/DMV Joint International Meeting, June 16-19, 2005, Mainz, Germany : International Workshop on Algebraic Methods in Cryptography, November 17-18, 2005, Bochum, Germany
AMS/DMV Joint International Meeting, June 16-19, 2005, Mainz, Germany ... form (ul (a 1,..., a n), ..., un (a 1,..., a.m.), 1,..., 1). Thus, QU = (wi ... form of w, see the end of Section 3) is Alice's and Bob's common secret key. We note that ...
Public-Key Cryptography: Theory and Practice: Theory and Practice
... factoring algorithm.) Williams' p + 1-method appears in 1982 in [305]. The continued fraction method (CFRAC) is ... cubic sieve method is described in Lenstra and Lenstra [165]. The theoretically superior number field sieve method follows ...
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