Presentation 2007-05-18
On Equivalent Keys of Stream Ciphers
Ryoichi TERAMURA, Takanori ISOBE, Toshihiro OHIGASHI, Hidenori KUWAKADO, Masakatu MORII,
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Abstract(in English) When different keys are used in encryption, we call these keys equivalent keys if ciphertexts generated from these keys have equivalence. In general, the equivalent keys are the keys that generate same ciphertexts. In the stream ciphers, the keys that generate pseudo-random sequence (called keystreams) of different phase are also called equivalent keys since the ciphertext is made by XORing the plaintext to the keystream that is generated from a secret key and an initialization vector (IV). In this paper, we present such equivalent keys searching method for stream ciphers. We apply the proposed method to Grain v1 and Mickey 2.0 submitted to the ECRYPT Stream Cipher Project (eSTREAM). We can obtain equivalent keys (secret key and IV pairs) of these stream ciphers with small time complexity. Additionally, we show that the space of equivalent keys identified by the proposed method is about 1/2 in all secret key and IV pairs.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) equivalent key / stream cipher / Grain v1 / Mickey 2.0 / eSTREAM
Paper # ISEC2007-15
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Conference Information
Committee ISEC
Conference Date 2007/5/11(1days)
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Paper Information
Registration To Information Security (ISEC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On Equivalent Keys of Stream Ciphers
Sub Title (in English)
Keyword(1) equivalent key
Keyword(2) stream cipher
Keyword(3) Grain v1
Keyword(4) Mickey 2.0
Keyword(5) eSTREAM
1st Author's Name Ryoichi TERAMURA
1st Author's Affiliation Graduate School of Engineering, Kobe University()
2nd Author's Name Takanori ISOBE
2nd Author's Affiliation Graduate School of Science and Technology, Kobe University
3rd Author's Name Toshihiro OHIGASHI
3rd Author's Affiliation Graduate School of Science and Technology, Kobe University
4th Author's Name Hidenori KUWAKADO
4th Author's Affiliation Graduate School of Engineering, Kobe University
5th Author's Name Masakatu MORII
5th Author's Affiliation Graduate School of Engineering, Kobe University
Date 2007-05-18
Paper # ISEC2007-15
Volume (vol) vol.107
Number (no) 44
Page pp.pp.-
#Pages 8
Date of Issue