Lenstra's Algorithm: Integer Factorization

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This lecture covers Lenstra's Algorithm for integer factorization, which computes the prime factors of an integer in polynomial time. The algorithm involves choosing random elliptic curves and points, and performing computations to find prime divisors efficiently.

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Official source

Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

Theoretical computer science

Theory of computation: Computational complexity theory

Related lectures (23)

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In course

DEMO: adipisicing irure

Instructor

excepteur officia est do

Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

Theoretical computer science

Theory of computation: Computational complexity theory

Related lectures (23)

Elementary Algebra: Numeric Sets

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Shor's algorithm: factoring integers

Covers the basics of Shor's algorithm for factoring integers and the steps involved in the quantum algorithm.

Factoring Polynomials: Complexity and Algorithms

Delves into the complexity of factoring polynomials and the implications for security.

Integers: Sets, Maps, and Principles

Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.

Number Theory: GCD and LCM

Covers GCD, LCM, and the Euclidean algorithm for efficient computation of GCD.