Geodesic
Modulo q greatest common divisor algorithms
Serdica Mathematical Journal, Tome 46 (2020) no. 2, pp. 121-134

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In this paper we are looking for fast gcd algorithms in certain quadratic number fields. These algorithms do not belong to the Euclidean algorithm family rather the proposed algorithms can be viewed as generalization of the binary gcd algorithm.
Keywords: binary gcd algorithm, extended gcd algorithm, 11A05, 11Y16 
Szabó, Sándor. Modulo q greatest common divisor algorithms. Serdica Mathematical Journal, Tome 46 (2020) no. 2, pp. 121-134. http://geodesic.mathdoc.fr/item/SMJ2_2020_46_2_a2/
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     author = {Szab\'o, S\'andor},
     title = {Modulo q greatest common divisor algorithms},
     journal = {Serdica Mathematical Journal},
     pages = {121--134},
     year = {2020},
     volume = {46},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2020_46_2_a2/}
}
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