This paper proposes new candidate one-way functions constructed with a certain type of endomorphisms on non-supersingular elliptic curves. We can show that the one-wayness of our proposed functions is equivalent to some special cases of the co-Diffie-Hellman assumption. Also a digital signature scheme is explicitly described using our proposed functions.
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Copy
Taiichi SAITO, Fumitaka HOSHINO, Shigenori UCHIYAMA, Tetsutaro KOBAYASHI, "Candidate One-Way Functions on Non-Supersingular Elliptic Curves" in IEICE TRANSACTIONS on Fundamentals,
vol. E89-A, no. 1, pp. 144-150, January 2006, doi: 10.1093/ietfec/e89-a.1.144.
Abstract: This paper proposes new candidate one-way functions constructed with a certain type of endomorphisms on non-supersingular elliptic curves. We can show that the one-wayness of our proposed functions is equivalent to some special cases of the co-Diffie-Hellman assumption. Also a digital signature scheme is explicitly described using our proposed functions.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.1.144/_p
Copy
@ARTICLE{e89-a_1_144,
author={Taiichi SAITO, Fumitaka HOSHINO, Shigenori UCHIYAMA, Tetsutaro KOBAYASHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Candidate One-Way Functions on Non-Supersingular Elliptic Curves},
year={2006},
volume={E89-A},
number={1},
pages={144-150},
abstract={This paper proposes new candidate one-way functions constructed with a certain type of endomorphisms on non-supersingular elliptic curves. We can show that the one-wayness of our proposed functions is equivalent to some special cases of the co-Diffie-Hellman assumption. Also a digital signature scheme is explicitly described using our proposed functions.},
keywords={},
doi={10.1093/ietfec/e89-a.1.144},
ISSN={1745-1337},
month={January},}
Copy
TY - JOUR
TI - Candidate One-Way Functions on Non-Supersingular Elliptic Curves
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 144
EP - 150
AU - Taiichi SAITO
AU - Fumitaka HOSHINO
AU - Shigenori UCHIYAMA
AU - Tetsutaro KOBAYASHI
PY - 2006
DO - 10.1093/ietfec/e89-a.1.144
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2006
AB - This paper proposes new candidate one-way functions constructed with a certain type of endomorphisms on non-supersingular elliptic curves. We can show that the one-wayness of our proposed functions is equivalent to some special cases of the co-Diffie-Hellman assumption. Also a digital signature scheme is explicitly described using our proposed functions.
ER -