Presentation 2014-06-05
Higher Order Monomial Attack to FEAL-4
Toshinobu KANEKO,
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Abstract(in English) In ARX type cipher, relations between input and output variables are a system of quadratic equations on GF(2), if you regard carries in arithmetic addition as independent variables. In this paper, we show an algorithm to derive equations of higher-order monomial form, focusing on lower bits dependency of the carries. In the equation, component variables in higher-order monomial are linear sum of round-keys and input-output variables. Values which do not satisfy the equation can be easily obtained. We discuss a new attack algorithm utilizing such properties. To evaluate the attack, we applied it to FEAL-4 data randomization equipment, in known-text attack scenario. Information theoretical analysis says that we need 3 blocks of known-texts to determine secret round-keys. It is estimated that the new algorithm needs only 4 blocks, and that the memory complexity is 2^<25.1>.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) ARX cipher / known-text attack / higher order monomial attack / system of quadratic equations / FEAL-4
Paper # IA2014-4,ICSS2014-4
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Conference Information
Committee IA
Conference Date 2014/5/29(1days)
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Paper Information
Registration To Internet Architecture(IA)
Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) Higher Order Monomial Attack to FEAL-4
Sub Title (in English)
Keyword(1) ARX cipher
Keyword(2) known-text attack
Keyword(3) higher order monomial attack
Keyword(4) system of quadratic equations
Keyword(5) FEAL-4
1st Author's Name Toshinobu KANEKO
1st Author's Affiliation Faculty of Science and Technology, Tokyo University of Science()
Date 2014-06-05
Paper # IA2014-4,ICSS2014-4
Volume (vol) vol.114
Number (no) 70
Page pp.pp.-
#Pages 6
Date of Issue