On cycles of pairing-friendly abelian varieties
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Publication:6653047
DOI10.1007/978-3-031-68400-5_7MaRDI QIDQ6653047
Craig Costello, Michael Naehrig, Maria Corte-Real Santos
Publication date: 13 December 2024
abelian varietieszero-knowledge proofssupersingular curvesSNARKsrecursive proof compositiontrace zero varieties
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50)
Cites Work
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- Jacobians in isogeny classes of abelian surfaces over finite fields
- Using abelian varieties to improve pairing-based cryptography
- Hyperelliptic cryptosystems
- Evidence that XTR is more secure than supersingular elliptic curve cryptosystems
- Separating decision Diffie-Hellman from computational Diffie-Hellman in cryptographic groups
- Group structures of elementary supersingular abelian varieties over finite fields.
- Families of SNARK-friendly 2-chains of elliptic curves
- Efficient pairing computation on supersingular abelian varieties
- Isogeny classes of abelian varieties over finite fields
- Dory: efficient, transparent arguments for generalised inner products and polynomial commitments
- Scalable Zero Knowledge via Cycles of Elliptic Curves
- Constructing supersingular elliptic curves
- Short Pairing-Based Non-interactive Zero-Knowledge Arguments
- Computing Hilbert class polynomials with the Chinese remainder theorem
- On the Final Exponentiation for Calculating Pairings on Ordinary Elliptic Curves
- Fast Hashing to G 2 on Pairing-Friendly Curves
- A double large prime variation for small genus hyperelliptic index calculus
- On Prime-Order Elliptic Curves with Embedding Degrees k = 3, 4, and 6
- Twisted Edwards Curves
- Efficient CM-constructions of elliptic curves over finite fields
- Security Analysis of the Strong Diffie-Hellman Problem
- A Generalized Brezing-Weng Algorithm for Constructing Pairing-Friendly Ordinary Abelian Varieties
- Exponentiation in Pairing-Friendly Groups Using Homomorphisms
- The Arithmetic of Elliptic Curves
- Endomorphisms for Faster Elliptic Curve Cryptography on a Large Class of Curves
- Distortion maps for supersingular genus two curves
- Speeding the Pollard and Elliptic Curve Methods of Factorization
- Monte Carlo Methods for Index Computation (mod p)
- The Tate pairing and the discrete logarithm applied to elliptic curve cryptosystems
- Amicable Pairs and Aliquot Cycles for Elliptic Curves
- Pairing-Friendly Elliptic Curves of Prime Order
- Incrementally Verifiable Computation or Proofs of Knowledge Imply Time/Space Efficiency
- Efficient Non-interactive Proof Systems for Bilinear Groups
- Simulation-Sound NIZK Proofs for a Practical Language and Constant Size Group Signatures
- Advances in Elliptic Curve Cryptography
- Abelian Surfaces over Finite Fields as Jacobians
- Recursive composition and bootstrapping for SNARKS and proof-carrying data
- Abelian varieties over finite fields
- On the Size of Pairing-Based Non-interactive Arguments
- On Cycles of Pairing-Friendly Elliptic Curves
- Constructing Symmetric Pairings over Supersingular Elliptic Curves with Embedding Degree Three
- Non-interactive Zaps and New Techniques for NIZK
- Cryptography and Coding
- Algorithmic Number Theory
- A survey of elliptic curves for proof systems
- Revisiting cycles of pairing-friendly elliptic curves
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