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- W4296233796 abstract "Quispel-Roberts-Thompson (QRT) maps are a family of birational maps of the plane which provide the simplest discrete analogue of an integrable Hamiltonian system, and are associated with elliptic fibrations in terms of biquadratic curves. Each generic orbit of a QRT map corresponds to a sequence of points on an elliptic curve. In this preliminary study, we explore versions of the elliptic curve method (ECM) for integer factorization based on iterating three different QRT maps with particular initial data. Pseudorandom number generation and other possible applications are briefly discussed." @default.
- W4296233796 created "2022-09-18" @default.
- W4296233796 creator A5064714239 @default.
- W4296233796 date "2020-01-24" @default.
- W4296233796 modified "2023-10-16" @default.
- W4296233796 title "ECM factorization with QRT maps" @default.
- W4296233796 doi "https://doi.org/10.48550/arxiv.2001.09076" @default.
- W4296233796 hasPublicationYear "2020" @default.
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