DMNov 14, 2014
A Discrete Logarithm-based Approach to Compute Low-Weight Multiples of Binary PolynomialsP. Peterlongo, M. Sala, C. Tinnirello
Being able to compute efficiently a low-weight multiple of a given binary polynomial is often a key ingredient of correlation attacks to LFSR-based stream ciphers. The best known general purpose algorithm is based on the generalized birthday problem. We describe an alternative approach which is based on discrete logarithms and has much lower memory complexity requirements with a comparable time complexity.
CRMar 31, 2014
On weak differential uniformity of vectorial Boolean functions as a cryptographic criterionR. Aragona, M. Calderini, D. Maccauro et al.
We study the relation among some security parameters for vectorial Boolean functions which prevent attacks on the related block cipher. We focus our study on a recently-introduced security criterion, called weak differential uniformity, which prevents the existence of an undetectable trapdoor based on imprimitive group action. We present some properties of functions with low weak differential uniformity, especially for the case of power functions and 4-bit S-Boxes.