Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Craig Costello"'
Publikováno v:
Advances in Cryptology – CRYPTO 2022 ISBN: 9783031159817
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f23e8e6394ebaf5207c73e0457f06bc7
https://doi.org/10.1007/978-3-031-15982-4_10
https://doi.org/10.1007/978-3-031-15982-4_10
Publikováno v:
Lecture Notes in Computer Science ISBN: 9783030453879
Public Key Cryptography (2)
Public Key Cryptography (2)
The main contribution of this work is an optimized implementation of the van Oorschot-Wiener (vOW) parallel collision finding algorithm. As is typical for cryptanalysis against conjectured hard problems (e. g. factoring or discrete logarithms), chall
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b1be0b9a67c755946669e9f78582978d
https://doi.org/10.1007/978-3-030-45388-6_18
https://doi.org/10.1007/978-3-030-45388-6_18
Autor:
Craig Costello
Publikováno v:
Advances in Cryptology – ASIACRYPT 2020 ISBN: 9783030648336
ASIACRYPT (2)
ASIACRYPT (2)
This paper explores a new way of instantiating isogeny-based cryptography in which parties can work in both the \((p+1)\)-torsion of a set of supersingular curves and in the \((p-1)\)-torsion corresponding to the set of their quadratic twists. Althou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::adbffc1fc0d1cfa0b8307769b6c06765
https://doi.org/10.1007/978-3-030-64834-3_15
https://doi.org/10.1007/978-3-030-64834-3_15
Autor:
Craig Costello
Publikováno v:
Lecture Notes in Computer Science ISBN: 9783030384708
SAC
SAC
This is an informal tutorial on the supersingular isogeny Diffie-Hellman protocol aimed at non-isogenists.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d5462a1c9f12625857dee4f9a0fcc2c
https://doi.org/10.1007/978-3-030-38471-5_2
https://doi.org/10.1007/978-3-030-38471-5_2
Autor:
Craig Costello, Benjamin Smith
Publikováno v:
Post-Quantum Cryptography ISBN: 9783030442224
PQCrypto
PQCrypto 2020-11th International Conference on Post-Quantum Cryptography
PQCrypto 2020-11th International Conference on Post-Quantum Cryptography, Apr 2020, Paris, France
HAL
PQCrypto
PQCrypto 2020-11th International Conference on Post-Quantum Cryptography
PQCrypto 2020-11th International Conference on Post-Quantum Cryptography, Apr 2020, Paris, France
HAL
International audience; Let $A/\overline{\mathbb{F}}_p$ and $A'/\overline{\mathbb{F}}_p$ be supersingular principally polarized abelian varieties of dimension $g>1$. For any prime $\ell \ne p$, we give an algorithm that finds a path $\phi \colon A \r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e80d048e4cb8356530732c15f806954
https://doi.org/10.1007/978-3-030-44223-1_9
https://doi.org/10.1007/978-3-030-44223-1_9
Autor:
Craig Costello
Publikováno v:
Lecture Notes in Computer Science ISBN: 9783030033316
ASIACRYPT (3)
ASIACRYPT (3)
We apply Scholten’s construction to give explicit isogenies between the Weil restriction of supersingular Montgomery curves with full rational 2-torsion over \(\mathbb {F}_{p^2}\) and corresponding abelian surfaces over \(\mathbb {F}_{p}\). Subsequ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4fb7511dc4664a738728c53ed860eae5
https://doi.org/10.1007/978-3-030-03332-3_16
https://doi.org/10.1007/978-3-030-03332-3_16
Publikováno v:
Journal of Cryptographic Engineering. 6:259-286
We select a set of elliptic curves for cryptography and analyze our selection from a performance and security perspective. This analysis complements recent curve proposals that suggest (twisted) Edwards curves by also considering the Weierstrass mode
Publikováno v:
Guide to Pairing-Based Cryptography ISBN: 9781315370170
Guide to Pairing-Based Cryptography
Guide to Pairing-Based Cryptography
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fc2fb76040b7b778646163eec77c674c
https://doi.org/10.1201/9781315370170-6
https://doi.org/10.1201/9781315370170-6
Autor:
Craig Costello, Huseyin Hisil
Publikováno v:
Advances in Cryptology – ASIACRYPT 2017 ISBN: 9783319706962
ASIACRYPT (2)
ASIACRYPT (2)
We derive a new formula for computing arbitrary odd-degree isogenies between elliptic curves in Montgomery form. The formula lends itself to a simple and compact algorithm that can efficiently compute any low odd-degree isogenies inside the supersing
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9d9ed56ff847bc99e57d59e9d0f5935
https://doi.org/10.1007/978-3-319-70697-9_11
https://doi.org/10.1007/978-3-319-70697-9_11
Publikováno v:
Lecture Notes in Computer Science ISBN: 9783319566191
EUROCRYPT (1)
EUROCRYPT (1)
Supersingular isogeny Diffie-Hellman (SIDH) is an attractive candidate for post-quantum key exchange, in large part due to its relatively small public key sizes. A recent paper by Azarderakhsh, Jao, Kalach, Koziel and Leonardi showed that the public
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::476ca1e172c6a3239259cebfdc7b3257
https://doi.org/10.1007/978-3-319-56620-7_24
https://doi.org/10.1007/978-3-319-56620-7_24