Contents of Volume 126
Number-Theoretic
Methods in Cryptology
NuTMiC 2022
Editors: Maciej Grześkowiak, Josef Pieprzyk
and Jacek Pomykała
ISBN 978-83-86806-56-0
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High-rank elliptic curves with given torsion group and some applications Banach Center Publications 126 (2023), 9-26 MSC: Primary 11G05; Secondary 11Y05 DOI: 10.4064/bc126-1
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Factoring integers and oracles for elliptic and hyperelliptic curves Banach Center Publications 126 (2023), 27-40 MSC: Primary 11Y05; Secondary 14H52, 14H40, 11Y16, 11G20 DOI: 10.4064/bc126-2
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Factorization, malleability and equivalent problems Banach Center Publications 126 (2023), 41-51 MSC: Primary 11A51; Secondary 11G07 DOI: 10.4064/bc126-3
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On elliptic curve $L$-functions integrated encryption scheme Banach Center Publications 126 (2023), 53-72 MSC: Primary 94A60; Secondary 11G05, 11T71, 14G50, 14H52. DOI: 10.4064/bc126-4
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Smooth factors of integers and elliptic curve based factoring with an oracle Banach Center Publications 126 (2023), 73-88 MSC: Primary 11Y05; Secondary 11G07, 11A05, 03D15. DOI: 10.4064/bc126-5
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On the key generation in SQISign Banach Center Publications 126 (2023), 89-104 MSC: Primary 11T71; Secondary 94A60. DOI: 10.4064/bc126-6
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On the feasibility of computing constructive Deuring correspondence Banach Center Publications 126 (2023), 105-121 MSC: Primary 14H52; Secondary 14G50 DOI: 10.4064/bc126-7
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DLP-based cryptosystems with Pell cubics Banach Center Publications 126 (2023), 123-136 MSC: Primary 11T71; Secondary 14G50, 94A60 DOI: 10.4064/bc126-8
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Genus distribution of random $q$-ary lattices Banach Center Publications 126 (2023), 137-159 MSC: Primary 94A60; Secondary 11E08 DOI: 10.4064/bc126-9
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Subfield algorithms for ideal- and module-SVP based on the decomposition group Banach Center Publications 126 (2023), 161-186 MSC: Primary 11H06; Secondary 11H55 DOI: 10.4064/bc126-10
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A computational approach to the generalized Riemann hypothesis Banach Center Publications 126 (2023), 187-204 MSC: Primary 11M06; Secondary 11M26, 11M36. DOI: 10.4064/bc126-11
