publication . Article . 2020

The Role of Non-Positional Arithmetic on Efficient Emerging Cryptographic Algorithms

Paulo A.F. Martins; Leonel Sousa;
Open Access English
  • Published: 24 Mar 2020 Journal: IEEE Access, volume 8, pages 59,533-59,549 (eissn: 2169-3536, Copyright policy)
  • Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Abstract
Number representation systems establish ways in which numbers are mapped to computer architectures, and how operations over the numbers are translated into computer instructions. The efficiency of public-key cryptography is strongly affected by the used number representations, as these systems are constructed from mathematically inspired problems to ensure security, and thus rely on operations over large integers. In this paper, unconventional representations systems, including the Residue Number System (RNS) and stochastic number representations, are systematically reviewed. Homomorphic representations, which allow for parties to operate on data without having ...
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free text keywords: General Engineering, General Materials Science, General Computer Science, Homomorphic Encryption, Lattice-based Cryptography, Modular Arithmetic, Residue Number System (RNS), Stochastic Computing, Cryptography, business.industry, business, Arithmetic, Computer science, lcsh:Electrical engineering. Electronics. Nuclear engineering, lcsh:TK1-9971
Funded by
EC| FutureTPM
Project
FutureTPM
Future Proofing the Connected World: A Quantum-Resistant Trusted Platform Module
  • Funder: European Commission (EC)
  • Project Code: 779391
  • Funding stream: H2020 | RIA
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