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ISOGENIES OF ABELIAN VARIETIES IN CRYPTOGRAPHY

Part of: Finite fields and commutative rings (number-theoretic aspects) Communication, information Computational number theory

Published online by Cambridge University Press:  16 March 2020

YAN BO TI
YAN BO TI*
Affiliation:
Department of Mathematics,University of Auckland, Auckland 1010, New Zealand email yanbo.ti@gmail.com
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Abstract

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Keywords

post-quantum cryptographynumber theory

MSC classification

Primary: 11T71: Algebraic coding theory; cryptography
Secondary: 11Y40: Algebraic number theory computations 94A60: Cryptography
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 101 , Issue 3 , June 2020 , pp. 508 - 509
Copyright
© 2020 Australian Mathematical Publishing Association Inc.

Footnotes

Thesis submitted to the University of Auckland in June 2019; degree approved 9 October 2019; supervisor Steven Galbraith.

References

Flynn, E. V. and Ti, Y. B., ‘Genus two isogeny cryptography’, in: Post-Quantum Cryptography: Proceedings of the 10th International Conference, PQCrypto 2019, Chongqing, China, 2019 Revised Selected Papers, Lecture Notes in Computer Science, 11505 (Springer, Cham, 2019), 286–306.10.1007/978-3-030-25510-7_16CrossRefGoogle Scholar
Galbraith, S. D., Petit, C., Shani, B. and Ti, Y. B., ‘On the security of supersingular isogeny cryptosystems’, in: Advances in Cryptology—ASIACRYPT 2016: Proceedings of the 22nd International Conference on the Theory and Application of Cryptology and Information Security, Hanoi, Vietnam, Part I, Lecture Notes in Computer Science, 10031 (Springer, Berlin, 2016), 63–91.CrossRefGoogle Scholar
Ti, Y. B., ‘Fault attack on supersingular isogeny cryptosystems’, in: Post-Quantum Cryptography: Proceedings of the 8th International Workshop, PQCrypto 2017, Utrecht, The Netherlands, 2017, Lecture Notes in Computer Science, 10346 (Springer, Cham, 2017), 107–122.CrossRefGoogle Scholar