Block Cipher Components
@
Boolean functions
Addition modulo 2
n
Addend Dependency of Differential/Linear Probability of Addition
(Hiroshi Miyano, IEICE 98)
Efficient Algorithms for Computing Differential Properties of Addition
(Helger Lipmaa, Shiho Moriai, 2001.15.01.01)
On the Additive Differential Probability of Exclusive-Or
(Helger Lipmaa, Johan Wallén and Philippe Dumas, FSE 2004)
On the Differential and Linear Properties of Addition
(Johan Wallén (MSc thesis, HUT 2004))
Optimal Lower Bounds on the Number of Queries for Solving Differential Equations of Addition
(Souradyuti Paul and Bart Preneel, eprint 2004/294)
Solving Systems of Differential Equations of Addition
( Souradyuti Paul, Bart Preneel)
Near Optimal Algorithms for Solving Differential Equations of Addition with Batch Queries
(Souradyuti Paul and Bart Preneel, 2005)
Applications
Differential Cryptanalysis of a Reduced-Round SEED
(Yanami, Shimoyama, SCN 2002)
Differential Analysis of Modular Addition
(Alexis Warner Machado, 2001)
Pseudo-Hadamard Transform
On Differential Properties of Pseudo-Hadamard Transform and Related Mappings
(Lipmaa, INDOCRYPT 2002)
Ciphers using the PHT
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SAFER
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Twofish
MDS
Ciphers using it
Shark
The Cipher Shark
(Daemen, Rijmen, 1996)
The Interpolation Attack on Block Ciphers
(Thomas Jakobsen, Lars R. Knudsen, 1997)
Square
Square
Crypton
@
Rijndael
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Twofish
A New Class of Invertible Mappings
( Alexander Klimov, Adi Shamir, CHES 2002)
Cryptology Pointers
by
Helger Lipmaa
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(C) Helger Lipmaa 1997-2009.