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- W3120996986 abstract "Abstract It is known that secure computation can be done by using a deck of physical cards. This area is called card-based cryptography. Shinagawa et al. (in: Provable security—9th international conference, ProvSec 2015, Kanazawa, Japan, 2015) proposed regular n -sided polygon cards that enable to compute functions over $${mathbb {Z}}/n{mathbb {Z}}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>Z</mml:mi> <mml:mo>/</mml:mo> <mml:mi>n</mml:mi> <mml:mi>Z</mml:mi> </mml:mrow> </mml:math> . In particular, they designed efficient protocols for linear functions (e.g. addition and constant multiplication) over $${mathbb {Z}}/n{mathbb {Z}}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>Z</mml:mi> <mml:mo>/</mml:mo> <mml:mi>n</mml:mi> <mml:mi>Z</mml:mi> </mml:mrow> </mml:math> . Here, efficiency is measured by the number of cards used in the protocol. In this paper, we propose a new type of cards, dihedral cards, as a natural generalization of regular polygon cards. Based on them, we construct efficient protocols for various interesting functions such as carry of addition, equality, and greater-than, whose efficient construction has not been known before. Beside this, we introduce a new protocol framework that captures a wide class of card types including binary cards, regular polygon cards, dihedral cards, and so on." @default.
- W3120996986 created "2021-01-18" @default.
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- W3120996986 date "2021-01-04" @default.
- W3120996986 modified "2023-10-17" @default.
- W3120996986 title "Card-based Cryptography with Dihedral Symmetry" @default.
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- W3120996986 doi "https://doi.org/10.1007/s00354-020-00117-9" @default.
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