Read e-book online Topics in Computational Number Theory Inspired by Peter L. PDF

By Joppe W. Bos,Arjen K. Lenstra

Peter L. Montgomery has made major contributions to computational quantity conception, introducing many uncomplicated instruments corresponding to Montgomery multiplication, Montgomery simultaneous inversion, Montgomery curves, and the Montgomery ladder. This e-book positive factors cutting-edge study in computational quantity thought with regards to Montgomery's paintings and its effect on computational potency and cryptography. subject matters disguise a variety of issues resembling Montgomery multiplication for either and software program implementations; Montgomery curves and twisted Edwards curves as proposed within the most modern criteria for elliptic curve cryptography; and cryptographic pairings. This ebook offers a finished evaluation of integer factorization suggestions, together with committed chapters on polynomial choice, the block Lanczos strategy, and the FFT extension for algebraic-group factorization algorithms. Graduate scholars and researchers in utilized quantity idea and cryptography will make the most of this survey of Montgomery's work.

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Read Online or Download Topics in Computational Number Theory Inspired by Peter L. Montgomery (London Mathematical Society Lecture Note) PDF

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Topics in Computational Number Theory Inspired by Peter L. Montgomery (London Mathematical Society Lecture Note) by Joppe W. Bos,Arjen K. Lenstra

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