Some Saturation Characteristics of XOR Sum of Balance Functions

Yasutaka IGARASHI; Toshinobu KANEKO

doi:10.1587/transfun.E95.A.2

Some Saturation Characteristics of XOR Sum of Balance Functions

Yasutaka IGARASHI, Toshinobu KANEKO

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CLEFIA is a 128-bit block cipher proposed by Shirai et al. in 2007. On its saturation attack, Tsunoo et al. reported peculiar saturation characteristics in 2010. They formulated some hypotheses on the existence of the characteristics with no proof. In this paper we have theoretically proved their hypotheses. In their attack scenario, we show that the mod-2 distribution is a code word of Extended Hamming code, and then proof is given by using the property of Hadamard transform.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E95-A No.1 pp.2-7

Publication Date: 2012/01/01

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Online ISSN: 1745-1337

DOI: 10.1587/transfun.E95.A.2

Type of Manuscript: Special Section PAPER (Special Section on Cryptography and Information Security)

Category: Symmetric Cryptography

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Yasutaka IGARASHI, Toshinobu KANEKO, "Some Saturation Characteristics of XOR Sum of Balance Functions" in IEICE TRANSACTIONS on Fundamentals, vol. E95-A, no. 1, pp. 2-7, January 2012, doi: 10.1587/transfun.E95.A.2.
Abstract: CLEFIA is a 128-bit block cipher proposed by Shirai et al. in 2007. On its saturation attack, Tsunoo et al. reported peculiar saturation characteristics in 2010. They formulated some hypotheses on the existence of the characteristics with no proof. In this paper we have theoretically proved their hypotheses. In their attack scenario, we show that the mod-2 distribution is a code word of Extended Hamming code, and then proof is given by using the property of Hadamard transform.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E95.A.2/_p

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@ARTICLE{e95-a_1_2,
author={Yasutaka IGARASHI, Toshinobu KANEKO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Some Saturation Characteristics of XOR Sum of Balance Functions},
year={2012},
volume={E95-A},
number={1},
pages={2-7},
abstract={CLEFIA is a 128-bit block cipher proposed by Shirai et al. in 2007. On its saturation attack, Tsunoo et al. reported peculiar saturation characteristics in 2010. They formulated some hypotheses on the existence of the characteristics with no proof. In this paper we have theoretically proved their hypotheses. In their attack scenario, we show that the mod-2 distribution is a code word of Extended Hamming code, and then proof is given by using the property of Hadamard transform.},
keywords={},
doi={10.1587/transfun.E95.A.2},
ISSN={1745-1337},
month={January},}

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TY - JOUR
TI - Some Saturation Characteristics of XOR Sum of Balance Functions
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2
EP - 7
AU - Yasutaka IGARASHI
AU - Toshinobu KANEKO
PY - 2012
DO - 10.1587/transfun.E95.A.2
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E95-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2012
AB - CLEFIA is a 128-bit block cipher proposed by Shirai et al. in 2007. On its saturation attack, Tsunoo et al. reported peculiar saturation characteristics in 2010. They formulated some hypotheses on the existence of the characteristics with no proof. In this paper we have theoretically proved their hypotheses. In their attack scenario, we show that the mod-2 distribution is a code word of Extended Hamming code, and then proof is given by using the property of Hadamard transform.
ER -