Presentation 2002/1/23
On the Security of Secret Key Cryptosystems against Quantum Algorithms
Kazuo OHTA, Tetsuro NISHINO, Kazumaro AOKI,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In this paper, we discuss quantum algorithms that finds a secret key k_0 satisfying c_0=E (k_0,m_0) given m_0 and c_0,where an encryption algorithm E is publicly available, k_0 is a secret key, m_0 is plaintexts and c_0 is ciphertexts. We will propose a new algorithm suitable for implementation by BQTM (including NMR) based on the technique to solve the counting problem. It has the trade-off between the complexity of the number of the oracles calls and the measurement accuracy of NMR by introducing a Boolean function F_r^<(d)>. The complexity is conjectured under the reasonable assumptions, and the small experimental results are reported.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Grover's Algorithm / Secret-Key Cryptosystem / Secret Key Search / NMR Computer / Bulk Quantum Turing Machine
Paper # COMP2001-74
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Committee COMP
Conference Date 2002/1/23(1days)
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Registration To Theoretical Foundations of Computing (COMP)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On the Security of Secret Key Cryptosystems against Quantum Algorithms
Sub Title (in English)
Keyword(1) Grover's Algorithm
Keyword(2) Secret-Key Cryptosystem
Keyword(3) Secret Key Search
Keyword(4) NMR Computer
Keyword(5) Bulk Quantum Turing Machine
1st Author's Name Kazuo OHTA
1st Author's Affiliation Department of Information and Communication Engineering, The University of Electro- Communications, Faculty of Engineering()
2nd Author's Name Tetsuro NISHINO
2nd Author's Affiliation Department of Information and Communication Engineering, The University of Electro- Communications, Faculty of Engineering
3rd Author's Name Kazumaro AOKI
3rd Author's Affiliation NTT Communications
Date 2002/1/23
Paper # COMP2001-74
Volume (vol) vol.101
Number (no) 630
Page pp.pp.-
#Pages 7
Date of Issue