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Found 180 Documents (Results 1–100)

A new probabilistic primality test. (English. Russian original) Zbl 1475.11219

J. Math. Sci., New York 249, No. 1, 79-84 (2020); translation from Zap. Nauchn. Semin. POMI 479, 121-130 (2019).
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Discrete algebraic methods. Arithmetic, cryptography, automata and groups. (English) Zbl 1350.00001

De Gruyter Textbook. Berlin: De Gruyter (ISBN 978-3-11-041332-8/pbk; 978-3-11-041333-5/ebook). xii, 342 p. (2016).
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Primality testing for beginners. Number theory, algorithmics, cryptography. (Primzahltests für Einsteiger. Zahlentheorie, Algorithmik, Kryptographie.) (German) Zbl 1195.11003

Studium. Mathematik. Wiesbaden: Vieweg+Teubner (ISBN 978-3-8348-0679-6/pbk). xviii, 209 p. (2009).
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Four primality testing algorithms. (English) Zbl 1196.11169

Buhler, J. P. (ed.) et al., Algorithmic number theory. Lattices, number fields, curves and cryptography. Cambridge: Cambridge University Press (ISBN 978-0-521-80854-5/hbk). Mathematical Sciences Research Institute Publications 44, 101-126 (2008).
MSC:  11Y11
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A Lucas-Lehmer primality test for the numbers \(n=Ap_ 1^ {s_ 1}p_ 2^ {s_ 2}\cdots p_ t^ {s_ t}+\omega\). (Spanish. English summary) Zbl 1228.11180

Martínez Moro, Edgar (ed.), V jornadas de matemática discreta y algorítmica. Valladolid: Universidade de Valladolid, Secretariado de Publicaciones e Intercambio Editorial (ISBN 978-84-8448-380-9/pbk). Ciencias (Valladolid) 23, 437-444 (2006).
MSC:  11Y11
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Testing Mersenne primes with elliptic curves. (English) Zbl 1141.11322

Ganzha, Victor G. (ed.) et al., Computer algebra in scientific computing. 9th international workshop, CASC 2006, Chişinău, Moldova, September 11–15, 2006. Proceedings. Berlin: Springer (ISBN 978-3-540-45182-2/pbk). Lecture Notes in Computer Science 4194, 303-312 (2006).
MSC:  11Y11 68W30
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Commentary on Lucas’ test. (English) Zbl 1093.11002

van der Poorten, Alf (ed.) et al., High primes and misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams. Selected papers from the international conference on number theory, Banff, AB, Canada, May 24–30, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3353-7/hbk). Fields Institute Communications 41, 103-109 (2004).
MSC:  11A51 11Y11
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A new distributed primality test for shared RSA keys using quadratic fields. (English) Zbl 1020.94533

Batten, Lynn (ed.) et al., Information security and privacy. 7th Australasian conference, ACISP 2002, Melbourne, Australia, July 3-5, 2002. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 2384, 1-16 (2002).
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Efficient computation modulo a shared secret with application to the generation of shared safe-prime products. (English) Zbl 1026.94543

Yung, Moti (ed.), Advances in cryptology - CRYPTO 2002. 22nd annual international cryptology conference, Santa Barbara, CA, USA, August 18-22, 2002. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 2442, 417-432 (2002).
MSC:  94A62 11Y11
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Quintic reciprocity and primality test for numbers of the form \(M=A5^n\pm\omega_n\). (English) Zbl 1026.11092

Gonnet, Gastón H. (ed.) et al., LATIN 2000: Theoretical informatics. 4th Latin American symposium, Punta del Este, Uruguay, April 10-14, 2000. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1776, 269-279 (2000).
MSC:  11Y11 11A51 11R18
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Elliptic curves, Pythagorean triples and applications. (English) Zbl 1009.11050

Buchmann, Johannes (ed.) et al., Coding theory, cryptography and related areas. Proceedings of an international conference, Guanajuato, Mexico, April 1998. Berlin: Springer. 184-194 (2000).
MSC:  11G20 11Y11
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Carmichael numbers and Lucas tests. (English) Zbl 0918.11004

Mullin, Ronald C. (ed.) et al., Finite fields: theory, applications, and algorithms. Fourth international conference, Waterloo, Ontario, Canada, August 12–15, 1997. Providence, RI: American Mathematical Society. Contemp. Math. 225, 193-202 (1999).
MSC:  11A51 11Y11 11B39
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