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Scientific Papers
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Stanislav Bulygin:
Computer algebra in coding theory and cryptanalysis: Polynomial system solving for decoding linear codes and algebraic cryptanalysis. Suedwestdeutscher Verlag fuer Hochschulschriften, ISBN 978-3838109480, 136 pages (2009).
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Stanislav Bulygin:
Polynomial system solving for decoding linear codes and algebraic cryptanalysis. Ph.D. Thesis, University of Kaiserslautern (2009).
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Stanislav Bulygin, Ruud Pellikaan:
Bounded distance decoding of linear error-correcting codes with Gröbner bases. in Journal of Symbolic Computation Special Issue "Gröbner Bases Techniques in Cryptography and Coding Theory", vol.44, no.12, pp. 1626-1643 (2009).
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Ruud Pellikaan, Xin-Wen Wu, Stanislav Bulygin:
Codes and Cryptography on Algebraic Curves. A book in progress, to be published by Cambridge University Press (2011-2012).
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Stanislav Bulygin, Michael Brickenstein:
Obtaining and solving systems of equations in key variables only for the small variants of AES. Conditionally accepted to Mathematics in Computer science Special Issue "Symbolic Computation and Cryptography" (2009).
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Maria Bras-Amoros, Stanislav Bulygin:
Towards a Better Understanding of the Semigroup Tree. To appear in "Semigroup Forum" (2009).
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Stanislav Bulygin, Ruud Pellikaan:
Decoding linear error-correcting codes up to half the minimum distance with Gröbner bases. In Sala, M.; Mora, T.; Perret, L.; Sakata, S.; Traverso, C. (Eds.) "Gröbner Bases, Coding, and Cryptography" (RISC Book Series,Springer), pp.361-365 (2009).
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Stanislav Bulygin, Ruud Pellikaan:
Decoding and finding the minimum distance with Gröbner bases: history and new insights. A chapter to appear in I. Woungang, S. Misra, S.C. Misra (Eds.) "Selected Topics in Information and Coding Theory", World Scientific (2009).
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Michael Brickenstein, Stanislav Bulygin:
Attacking AES via Solving Systems in the Key Variables Only. In J.-C. Faugere, D. Wang (Eds.) "Proceedings of the First International Conference on Symbolic Computation and Cryptography", Beijing, China, April 28-30, pp.118-123 (2008).
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Tapan Rain, Stanislav Bulygin:
Noncommutative Polly Cracker-type cryptosystems and chosen-ciphertext security. Preprint (2008).
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Stanislav Bulygin, Ruud Pellikaan:
Decoding error-correcting codes with Groebner bases. Proceedings of the 28-th Symposium on Information Theory in the Benelux, Enschede, The Netherlands, May 24-25, pp.3-10 (2007).
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Stanislav Bulygin:
Some Problems from Coding Theory and Cryptography. Thesis submitted for the degree of Master of Science. Technische Universität Kaiserslautern (2006).
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Stanislav Bulygin:
Generalized Hermitian Codes over GF(2^r). IEEE Transactions on Information Theory, vol.52, no.10, pp.4664-4669 (2006).
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Stanislav Bulygin:
On estimation of one cryptographic function using algebraic geometric codes technique. Bulletin of the University of Kiev, Series: Physics&Mathematics, no.2, pp. 24-28 (2003).
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