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The index calculus for the DLP, quadratic reciprocity, and Tonelli-Shanks.

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UofSC-Fall-2022-Math-587-001/homework10

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Homework 10

This week we have a written part and an implementation part.

Written part

Answer the questions found in main.tex and turn your answers in by uploading them back here before midnight on the due date. You may do this as many times as you want. Only your final submission counts.

Remember this is math class so be sure to justify your answers. You will be graded on correctness and

Note: when you submit, your filename must be solutions.pdf and it must be a pdf.

Implementation part

Implement the Tonelli-Shanks algorithm for finding square roots modulo a power of a prime.