Cryptography and Residue Arithmetic
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Scope of this subject
This cluster of papers explores the applications, algorithms, and implementations of elliptic curve cryptography, with a focus on pairing-based cryptosystems, efficient algorithms for finite fields, quantum-resistant cryptosystems, and protection against side-channel attacks. It also covers hardware implementations and the use of elliptic curves in public key encryption.
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Research vocabulary
elliptic curve cryptography; modular arithmetic; residue number system; integer factorization; modular exponentiation; discrete logarithm problem; modular multiplication; finite field arithmetic; scalar multiplication; Montgomery multiplication; pairing-based cryptography; elliptic curve scalar multiplication; Chinese remainder theorem; RSA algorithm; GF(2^m); polynomial multiplication; ECDSA; elliptic curve discrete logarithm problem; number theoretic transform; public-key cryptosystems; modular inverse; point multiplication; finite field multiplication; supersingular elliptic curves; binary field arithmetic
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No owner-reviewed answer has been published for this exact subject page. This is a gap in this collection; it does not establish that the answer is unavailable elsewhere.
Numeric address and provenance
Morton address: 36183041118489691 · morton4x16-v1
Coordinates: (3, 17, 1710, 11693). The address interleaves categorical identifier bits. Nearby addresses are not guaranteed to describe semantically similar subjects.
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