Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Momonari, Kudo"'
Publikováno v:
Acta Arithmetica; 2024, Vol. 216 Issue 3, p227-248, 22p
Autor:
Momonari, Kudo, Shushi, Harashita
Publikováno v:
Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi. 70:49-64
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::cd12588d9333a00df96d15699cea2963
http://id.nii.ac.jp/1062/00022411/
http://id.nii.ac.jp/1062/00022411/
Publikováno v:
Arithmetic of Finite Fields ISBN: 9783031229435
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c2c68604e90616028171175911c5def
https://doi.org/10.1007/978-3-031-22944-2_6
https://doi.org/10.1007/978-3-031-22944-2_6
Publikováno v:
Open Book Series. 4:301-316
A Howe curve is a curve of genus $4$ obtained as the fiber product over $\mathbf{P}^1$ of two elliptic curves. Any Howe curve is canonical. This paper provides an efficient algorithm to find superspecial Howe curves and that to enumerate their isomor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af436298321623f3887651093e638058
https://doi.org/10.2140/obs.2020.4.301
https://doi.org/10.2140/obs.2020.4.301
Autor:
Yasuhiko Ikematsu, Momonari Kudo, Yasushi Takahashi, Masaya Yasuda, Kazuhiro Yokoyama, Ryoya Fukasaku
Publikováno v:
Journal of Mathematical Cryptology, Vol 15, Iss 1, Pp 31-44 (2020)
Recently, supersingular isogeny cryptosystems have received attention as a candidate of post-quantum cryptography (PQC). Their security relies on the hardness of solving isogeny problems over supersingular elliptic curves. The meet-in-the-middle appr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cbaf3eeacfa2049337aaccb219de4189
https://doaj.org/article/3ba2f1827cf246d99016113ef3aee61b
https://doaj.org/article/3ba2f1827cf246d99016113ef3aee61b
Autor:
Shushi Harashita, Momonari Kudo
Publikováno v:
Experimental Mathematics. 31:908-919
This paper provides an algorithm enumerating superspecial trigonal curves of genus $5$ over finite fields. Executing the algorithm over a computer algebra system Magma, we enumerate them over finite fields $\mathbb{F}_{p^a}$ for any natural number $a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::694927dbec5c40790c9bd6970314871d
https://doi.org/10.1080/10586458.2020.1723745
https://doi.org/10.1080/10586458.2020.1723745
Autor:
Yuta Kambe, Yusuke Aikawa, Momonari Kudo, Masaya Yasuda, Katsuyuki Takashima, Kazuhiro Yokoyama
Publikováno v:
Proceedings of the Seventh International Conference on Mathematics and Computing ISBN: 9789811668890
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d9bd6814268bd7cc70ba0c39c19303fe
https://doi.org/10.1007/978-981-16-6890-6_72
https://doi.org/10.1007/978-981-16-6890-6_72
Autor:
Momonari Kudo
Publikováno v:
Communications in Algebra. 47:5020-5038
This article shows the existence of superspecial and maximal nonhyperelliptic curves of genera four and five in characteristic p > 0 for infinitely many primes p. Specifically, we prove that the va...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b5a9269dc184cd87b18a50d68ca6297
https://doi.org/10.1080/00927872.2019.1609013
https://doi.org/10.1080/00927872.2019.1609013
Publikováno v:
Advances in Information and Computer Security ISBN: 9783030859862
IWSEC
IWSEC
The Learning With Rounding (LWR) problem has attracted increasing attention as a foundation for post-quantum cryptosystems. It is known to be a variant of the Learning With Errors (LWE) problem, and so far the computational hardness of the LWE proble
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bc59af7f5248b1c98fe18edc33ce35d5
https://doi.org/10.1007/978-3-030-85987-9_2
https://doi.org/10.1007/978-3-030-85987-9_2
Publikováno v:
Research in Number Theory. 6
We prove that there exists a supersingular nonsingular curve of genus 4 in arbitrary characteristic $$p>0$$ p > 0 . For $$p>3$$ p > 3 we shall prove that the desingularization of a certain fiber product over $$\mathbf{P }^1$$ P 1 of two supersingular
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d45e9d3fd334f8dddd9d23c910741733
https://doi.org/10.1007/s40993-020-00217-x
https://doi.org/10.1007/s40993-020-00217-x