CBraid swMATH ID: 5941 Software Authors: Jae Choon Cha Description: CBraid is a C++ class library that implements algorithms for computations in braid groups. Recently some braid cryptosystems, which are based on non-commutative structures, have been introduced and become a matter of interest for the cryptography research community. There still remain lots of things to be studied on braid cryptosystems, and many of them needs to be aided by a computer. In this regard, the main aim of CBraid library is to offer a basic tool that is useful in braid cryptography research. The library has been updated to run on modern compilers, and has been merged with Braiding version v1.0 (2004/10/04) originally written by Juan Gonzalez-Meneses and distributed under the GPL. The code is maintained by Jean-Luc Thiffeault. Homepage: http://code.google.com/p/cbraid/ Programming Languages: C++ Operating Systems: Unix-like environments, win32 environments, Keywords: cryptanalysis; braid group; Artin presentation; band-generator presentation Related Software: Magma; Threadpool; Matlab; Braidlab; OEIS; Curver; GitHub; NTRU Cited in: 29 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year An efficient implementation of braid groups. Zbl 1062.94546Cha, Jae Choon; Ko, Ki Hyoung; Lee, Sang Jin; Han, Jae Woo; Cheon, Jung Hee 2001 all top 5 Cited by 46 Authors 5 Shpilrain, Vladimir 3 Lee, Eonkyung 3 Ushakov, Alexander S. 2 Cheon, Jung Hee 2 Dehornoy, Patrick 2 Garber, David 2 Hofheinz, Dennis 2 Kalka, Arkadius G. 2 Ko, Ki Hyoung 2 Lee, Sangjin 2 Steinwandt, Rainer 2 Tsaban, Boaz 2 Zapata, Gabriel 1 Cao, Zhenfu 1 Cha, Jae Choon 1 Cui, Guohua 1 Gebhardt, Volker 1 Girault, Marc 1 Groch, Anja 1 Han, Jae Woo 1 Hong, Fan 1 Hoste, Jim 1 Huang, Xiaofang 1 Jun, Byungheup 1 Kamal, Abdel Alim 1 Kaplan, Shmuel 1 Lee, Jangwon 1 Li, Guo 1 Lin, Hanling 1 Maffre, Samuel 1 Park, Je Hong 1 Roman’kov, Vitaly Anatol’evich 1 Schleimer, Saul 1 Sibert, HervĂ© 1 Tang, Xueming 1 Teicher, Mina 1 Thomas, Tony G. 1 Vishne, Uzi 1 Wang, Licheng 1 Wang, Xiaofei 1 Wang, Xiaofeng 1 Wiest, Bertold 1 Yang, Ling 1 Yang, Yixian 1 Youssef, Amr M. 1 Zheng, Shihui all top 5 Cited in 7 Serials 4 Applicable Algebra in Engineering, Communication and Computing 3 Designs, Codes and Cryptography 2 Groups, Complexity, Cryptology 1 Communications in Algebra 1 Discrete Applied Mathematics 1 Journal of Cryptology 1 Wuhan University Journal of Natural Sciences (WUJNS) all top 5 Cited in 8 Fields 26 Information and communication theory, circuits (94-XX) 22 Group theory and generalizations (20-XX) 5 Computer science (68-XX) 2 Number theory (11-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) Citations by Year