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Found 20 Documents (Results 1–20)

Linear independence oracles and applications to rectangular and low rank linear systems. (English) Zbl 1325.68300

Nabeshima, Katsusuke (ed.), Proceedings of the 39th international symposium on symbolic and algebraic computation, ISSAC 2014, Kobe, Japan, July 23–25, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2501-1). 381-388 (2014).
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Solving polynomial systems over finite fields: improved analysis of the hybrid approach. (English) Zbl 1323.68583

van der Hoeven, Joris (ed.) et al., Proceedings of the 37th international symposium on symbolic and algebraic computation, ISSAC 2012, Grenoble, France, July 22–25, 2012. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-1269-1). 67-74 (2012).
MSC:  68W30 11T06 11Y16
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Computing loci of rank defects of linear matrices using Gröbner bases and applications to cryptology. (English) Zbl 1321.68529

Watt, Stephen M. (ed.), Proceedings of the 35th international symposium on symbolic and algebraic computation, ISSAC 2010, Munich, Germany, July 25–28, 2010. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0150-3). 257-264 (2010).
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Toward a rigorous variation of Coppersmith’s algorithm on three variables. (English) Zbl 1141.94341

Naor, Moni (ed.), Advances in cryptology – EUROCRYPT 2007. 26th annual international conference on the theory and applications of cryptographic techniques, Barcelona, Spain, May 20–24, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-72539-8/pbk). Lecture Notes in Computer Science 4515, 361-378 (2007).
MSC:  94A60 11Y16 68W30
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On asymptotic security estimates in XL and Gröbner bases-related algebraic cryptanalysis. (English) Zbl 1109.94353

Lopez, Javier (ed.) et al., Information and communications security. 6th international conference, ICICS 2004, Malaga, Spain, October 27–29, 2004. Proceedings. Berlin: Springer (ISBN 3-540-23563-9/pbk). Lecture Notes in Computer Science 3269, 401-413 (2004).
MSC:  94A60 68Q25 68W30
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Changing the ordering of Gröbner bases with LLL: case of two variables. (English) Zbl 1072.68645

Sendra, J. Rafael (ed.), ISSAC 2003. Proceedings of the 2003 international symposium on symbolic and algebraic computation, Philadelphia, PA, USA, August 3–6, 2003. New York, NY: ACM Press (ISBN 1-58113-641-2/pbk). 23-29 (2003).
MSC:  68W30 68W40 13P10
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