Computational Aspects of Quadratic and High-Order Residues with Applications in Cryptography, 2nd Edition
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematics and Computer Science".
Deadline for manuscript submissions: 31 January 2025 | Viewed by 588
Special Issue Editor
Interests: theories and tools for high-level modeling, design, and analysis of systems; cryptography and computer security; algebraic foundations of computer science
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Quadratic and high-order residues have increasingly caught researchers’ attention due to their applications in computational number theory, especially in cryptography. A number of the fields in which their use has produced useful results are primality testing, pseudo-random generators, public-key cryptography, secure multiparty computation, etc. However, intense research is still needed to clarify various computational aspects and boost efficiency in cryptographic applications.
This Special Issue aims to bring together original contributions to assist in understanding the computational aspects of quadratic and high-order residues and their applications in cryptography. Areas of interest include, but by no means are restricted to:
- Efficient computation of high-order residues;
- Distribution of quadratic and high-order residues;
- Sums of residues and non-residues;
- Signed residues;
- High-order residuosity problem and its relations with other computationally hard problems;
- Applications in cryptography (pseudo-random generators, public-key cryptography, secure multi-party computation, signcrytion, etc.).
Prof. Dr. Ferucio Laurentiu Tiplea
Guest Editor
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Keywords
- quadratic residue
- high-order residue
- distribution of residue
- residuosity problem
- cryptography
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