Geodesic
Using a deterministic partitioning function for Pollard’s rho method paralellization
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 2 (2013) no. 3, pp. 73-80

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An improved method for parallelization of Pollard’s algorithm for solving the discrete logarithm problem in a group of elliptic curve points and in a multiplicative group of a Galois field for shared memory systems is suggested in the paper. Improvement of the method is achieved by constructing a deterministic partitioning function. Such a function allows to organize two independent load balancing computational threads for building a block of group elements of fixed length. Also we analyze advanced iteration functions for Pollard’s algorithm and build generic deterministic partitioning function.
Keywords: discrete logarithm, Pollard’s rho method, elliptic curve. 
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     author = {E. G. Kachko and K. A. Pogrebnyak},
     title = {Using a deterministic partitioning function for {Pollard{\textquoteright}s} rho method paralellization},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a Vy\v{c}islitelʹna\^a matematika i informatika},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURV_2013_2_3_a4/}
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E. G. Kachko; K. A. Pogrebnyak. Using a deterministic partitioning function for Pollard’s rho method paralellization. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 2 (2013) no. 3, pp. 73-80. http://geodesic.mathdoc.fr/item/VYURV_2013_2_3_a4/