Algorithmic problems of group theory, their complexity, and applications to cryptography : AMS Special Sessions Algorithmic Problems of Group Theory and Their Complexity, January 9-10, 2013, San Diego, California : Algorithmic Problems of Group Theory and Applications to Information Security, April 6-7, 2013, Boston College, Chestnut Hill, Massachusetts
著者
書誌事項
Algorithmic problems of group theory, their complexity, and applications to cryptography : AMS Special Sessions Algorithmic Problems of Group Theory and Their Complexity, January 9-10, 2013, San Diego, California : Algorithmic Problems of Group Theory and Applications to Information Security, April 6-7, 2013, Boston College, Chestnut Hill, Massachusetts
（Contemporary mathematics, 633）
American Mathematical Society, c2015
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注記
Includes bibliographical references
内容説明・目次
内容説明
This volume contains the proceedings of the AMS Special Session on Algorithmic Problems of Group Theory and Their Complexity, held January 9-10, 2013 in San Diego, CA and the AMS Special Session on Algorithmic Problems of Group Theory and Applications to Information Security, held April 6-7, 2013 at Boston College, Chestnut Hill, MA.
Over the past few years the field of group-based cryptography has attracted attention from both group theorists and cryptographers. The new techniques inspired by algorithmic problems in non-commutative group theory and their complexity have offered promising ideas for developing new cryptographic protocols. The papers in this volume cover algorithmic group theory and applications to cryptography.
目次
Secret sharing using non-commutative groups and the shortlex order by B. Cavallo and D. Kahrobaei
An algorithm that decides conjugacy in a certain generalized free product by A. E. Clement
Classification of automorphic conjugacy classes in the free group on two generators by B. Cooper and E. Rowland
On elementary free groups by B. Fine, A. Gaglione, G. Rosenberger, and D. Spellman
An application of a localized version of an axiom of Ian Chiswell by A. M. Gaglione, S. Lipschutz, and D. Spellman
A note on Stallings' pregroups by A. M. Gaglione, S. Lipschutz, and D. Spellman
A CCA secure cryptosystem using matrices over group rings by D. Kahrobaei, C. Koupparis, and V. Shpilrain
The MOR cryptosystem and finite $p$-groups by A. Mahalanobis
A group theoretical ElGamal cryptosystem based on a semidirect product of groups and a proposal for a signature protocol by A. I. S. Moldenhauer
On some algorithmic properties of finite state automorphisms of rooted trees by B. Steinberg
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