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RSA factoring

Factoring RSA moduli

Factor balanced semiprimes without supplied structure or partial key information. Asymptotic bounds are separate from concrete challenge factorizations.

Balanced semiprimes · quantum

Logical quantum computation with polynomial classical post-processing

1 results · 1 papers
QuantumProvableRSA-type balanced semiprimesExpression only
#PUBLICATION / AUTHORSDATETIME BOUNDSPACE BOUNDEVIDENCE
—Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum ComputerPeter W. ShorSIAM Journal on Computing 1997SourceBibTeX / details30 Aug 1995poly(log N) quantum and classical workNot extracted from the sourcePublishedSource checked
Comparison definition & assumptions
Regime
Logical quantum computation with polynomial classical post-processing
Computation
Quantum
Rigor
Provable
Instances
RSA-type balanced semiprimes
Cost scale
Expression only
Parameter
n = ceil(log₂ N)
Description
Quantum asymptotic factorization bounds for RSA-type semiprimes. Concrete resource estimates require an explicit circuit and error-correction model.
Comparison rules
Quantum asymptotic factorization bounds for RSA-type semiprimes. Concrete resource estimates require an explicit circuit and error-correction model. Only compare entries with this cost scale, input domain and computational model. Polynomial and quasi-polynomial expressions without an extracted scalar are not ranked.
Tags
rsa, quantum, polynomial time