Geodesic
The universal block Lanczos--Pad\'e method for linear systems over large prime fields
Fundamentalʹnaâ i prikladnaâ matematika, Tome 19 (2014) no. 6, pp. 225-249.

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In this paper, we propose a universal algorithm designed for solving large sparse linear systems over finite fields with a large prime number of elements. Such systems arise in the solution of the discrete logarithm problem modulo a prime number. The algorithm has been developed for parallel computing systems with various parallel architectures and properties. The new method inherits the structural properties of the Lanczos method however providing flexible control over the complexity of parallel computations and the intensity of exchanges. 
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M. A. Cherepniov; N. L. Zamarashkin. The universal block Lanczos--Pad\'e method for linear systems over large prime fields. Fundamentalʹnaâ i prikladnaâ matematika, Tome 19 (2014) no. 6, pp. 225-249. http://geodesic.mathdoc.fr/item/FPM_2014_19_6_a10/

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