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A Pipeline Architecture for Factoring Large Integers with the Quadratic Sieve Algorithm

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-39757-4_17openalex-snapshot

The Quadratic Sieve Factoring Algorithm

inferredcites →https://doi.org/10.1007/3-540-39757-4_18openalex-snapshot

Status Report on Factoring (At the Sandia National Laboratories)

inferredcites →https://doi.org/10.1007/978-1-4684-4730-9_9openalex-snapshot

Factorization Using the Quadratic Sieve Algorithm

inferredcites →https://doi.org/10.1007/bf01840433openalex-snapshot

Discrete logarithms inGF(p)

inferredcites →https://doi.org/10.1016/0304-3975(76)90050-5openalex-snapshot

Analysis of a simple factorization algorithm

inferredcites →https://doi.org/10.1090/s0025-5718-1984-0744939-5openalex-snapshot

A Monte Carlo Factoring Algorithm With Linear Storage

inferredcites →https://doi.org/10.1090/s0025-5718-1987-0866119-8openalex-snapshot

The Multiple Polynomial Quadratic Sieve

inferredcites →https://doi.org/10.1109/tit.1986.1057137openalex-snapshot

Solving sparse linear equations over finite fields

inferredcites →https://doi.org/10.1145/357980.358017openalex-snapshot

A method for obtaining digital signatures and public-key cryptosystems

inferredcites →https://doi.org/10.1145/359340.359342openalex-snapshot

A method for obtaining digital signatures and public-key cryptosystems

inferredcites →https://doi.org/10.2307/1971363openalex-snapshot

Factoring Integers with Elliptic Curves

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/9781119183471.refsopenalex-snapshot

References

inferred← citeshttps://doi.org/10.1007/3-540-36288-6_19openalex-snapshot

A Dedicated Sieving Hardware

inferred← citeshttps://doi.org/10.1007/3-540-38424-3_40openalex-snapshot

A Comparison of Practical Public-Key Cryptosystems based on Integer Factorization and Discrete Logarithms

inferred← citeshttps://doi.org/10.1007/3-540-44968-x_2openalex-snapshot

Recent Progress and Prospects for Integer Factorisation Algorithms

inferred← citeshttps://doi.org/10.1007/3-540-46885-4_35openalex-snapshot

Factoring by electronic mail

inferred← citeshttps://doi.org/10.1007/3-540-48071-4_23openalex-snapshot

A Quadratic Sieve on the n-Dimensional Cube

inferred← citeshttps://doi.org/10.1007/3-540-48285-7_3openalex-snapshot

Factoring Integers Using SIMD Sieves

inferred← citeshttps://doi.org/10.1007/3-540-48311-x_1openalex-snapshot

Some Parallel Algorithms for Integer Factorisation

inferred← citeshttps://doi.org/10.1007/3-540-52921-7_68openalex-snapshot

Distributed algorithms for deciphering

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Achieving superlinear speedups for the multiple polynomial quadratic sieve factoring algorithm on a distributed memory multiprocessor

inferred← citeshttps://doi.org/10.1007/978-1-4419-5906-5_447openalex-snapshot

Factorization Circuits

inferred← citeshttps://doi.org/10.1007/978-1-4419-5906-5_474openalex-snapshot

Quadratic Sieve

inferred← citeshttps://doi.org/10.1007/978-1-4757-6856-5_3openalex-snapshot

Discrete Logarithms: The Past and the Future

inferred← citeshttps://doi.org/10.1007/978-3-030-71522-9_447openalex-snapshot

Factorization Circuits

inferred← citeshttps://doi.org/10.1007/978-3-030-71522-9_474openalex-snapshot

Quadratic Sieve

inferred← citeshttps://doi.org/10.1007/bf00154339openalex-snapshot

Parallel implementation of the quadratic sieve

inferred← citeshttps://doi.org/10.1007/bfb0020422openalex-snapshot

Factoring

inferred← citeshttps://doi.org/10.1007/bfb0053454openalex-snapshot

MIMD-Factorisation on hypercubes

inferred← citeshttps://doi.org/10.1007/bfb0072986openalex-snapshot

Methods of factoring large integers

inferred← citeshttps://doi.org/10.1016/0377-0427(89)90370-1openalex-snapshot

Factoring with the quadratic sieve on large vector computers

inferred← citeshttps://doi.org/10.1016/0898-1221(90)90041-hopenalex-snapshot

Some uses of microcomputers in number theory research

inferred← citeshttps://doi.org/10.1016/b978-0-444-88071-0.50017-5openalex-snapshot

Algorithms in Number Theory

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Cryptography

inferred← citeshttps://doi.org/10.1016/b978-0-444-88621-7.50018-9openalex-snapshot

Factoring with the quadratic sieve on large vector computers

inferred← citeshttps://doi.org/10.1016/s0924-6509(04)80025-4openalex-snapshot

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Cryptography and Secure Communication

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Discrete Logarithms: The Past and the Future

inferred← citeshttps://doi.org/10.1080/09720529.2008.10698205openalex-snapshot

Algorithm for factoring some RSA and Rabin moduli

inferred← citeshttps://doi.org/10.1080/10586458.1992.10504250openalex-snapshot

Reduction of Huge, Sparse Matrices over Finite Fields Via Created Catastrophes

inferred← citeshttps://doi.org/10.1080/10586458.1996.10504592openalex-snapshot

Factoring Integers with Large-Prime Variations of the Quadratic Sieve

inferred← citeshttps://doi.org/10.1090/dol/034/15openalex-snapshot

A Tale of Two Sieves

inferred← citeshttps://doi.org/10.1090/mcom/3058openalex-snapshot

Quadratic sieving

inferred← citeshttps://doi.org/10.1109/5.4442openalex-snapshot

The first ten years of public-key cryptography

inferred← citeshttps://doi.org/10.1109/5.4443openalex-snapshot

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The Quadratic Sieve Factoring Algorithm on Distributed Memory Multiprocessors

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Modified Congruence Modulo $n$ with Half The Amount of Residues

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