Lecture: The Quadratic Sieve

Background Material

• Lecture on integer factorization and Lecture quadratic residues.
• Basic linear algebra (Gaussian elimination and null space).

Reading

• Section 8 of the text.

Topics

1. Dixon's algorithm (sec. 8.1)
2. Quadratic Sieve (secs. 8.2-8.4)

Maple Worksheet

1. quadraticsieve.mw - Maple worksheet implementing Dixon's algorithm and outlining the Quadratic Sieve.

Practice Assignment

1. Exc. 8.3, 8.4, 8.5, 8.7, 8.10, 8.11, 8.25.