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Square Forms Factoring with Sieves

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thesis
posted on 05.05.2021, 16:19 by Clinton W Bradford
Square Form Factoring is an O(N1/4) factoring algorithm developed by D. Shanks using certain properties of quadratic forms. Central to the original algorithm is an iterative search for a square form. We propose a new subexponential-time algorithm called SQUFOF2, based on ideas of D. Shanks and R. de Vogelaire, which replaces the iterative search with a sieve, similar to the Quadratic Sieve.

History

Degree Type

Doctor of Philosophy

Department

Mathematics

Campus location

West Lafayette

Advisor/Supervisor/Committee Chair

Samuel S. Wagstaff

Additional Committee Member 2

William Heinzer

Additional Committee Member 3

Tong Liu

Additional Committee Member 4

David McReynolds