# Quantum Attacks on Public-Key Cryptosystems [electronic resource] / by Song Y. Yan.

Material type: TextPublisher: Boston, MA : Springer US : Imprint: Springer, 2013Description: VIII, 207 p. online resourceContent type:- text

- computer

- online resource

- 9781441977229

- Computer science
- Computer communication systems
- Data structures (Computer science)
- Data encryption (Computer science)
- Algorithms
- Computer science -- Mathematics
- Computer Science
- Data Structures, Cryptology and Information Theory
- Data Encryption
- Algorithm Analysis and Problem Complexity
- Mathematics of Computing
- Symbolic and Algebraic Manipulation
- Computer Communication Networks

- 005.74 23

- QA76.9.D35

Classic and Quantum Computation -- Quantum Attacks on IFP-Based Cryptosystems -- Quantum Attacks on DLP-Based Cryptosystems -- Quantum Attacks on ECDLP-Based Cryptosystems -- Quantum-Computing Resistant Cryptosystems.

The cryptosystems based on the Integer Factorization Problem (IFP), the Discrete Logarithm Problem (DLP) and the Elliptic Curve Discrete Logarithm Problem (ECDLP) are essentially the only three types of practical public-key cryptosystems in use. The security of these cryptosystems relies heavily on these three infeasible problems, as no polynomial-time algorithms exist for them so far. However, polynomial-time quantum algorithms for IFP, DLP and ECDLP do exist, provided that a practical quantum computer exists. Quantum Attacks on Public-Key Cryptosystems presemts almost all known quantum computing based attacks on public-key cryptosystems, with an emphasis on quantum algorithms for IFP, DLP, and ECDLP. It also discusses some quantum resistant cryptosystems to replace the IFP, DLP and ECDLP based cryptosystems. This book is intended to be used either as a graduate text in computing, communications and mathematics, or as a basic reference in the field.

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