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» Linear Systems over Finite Abelian Groups
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DCC
1998
IEEE
13 years 7 months ago
Quasideterminant Characterization of MDS Group Codes over Abelian Groups
A group code defined over a group G is a subset of Gn which forms a group under componentwise group operation. The well known matrix characterization of MDS (Maximum Distance Sepa...
A. A. Zain, B. Sundar Rajan
ICALP
2007
Springer
13 years 11 months ago
Affine Systems of Equations and Counting Infinitary Logic
We study the definability of constraint satisfaction problems (CSP) in various fixed-point and infinitary logics. We show that testing the solvability of systems of equations over...
Albert Atserias, Andrei A. Bulatov, Anuj Dawar
ASIACRYPT
2008
Springer
13 years 9 months ago
Graph Design for Secure Multiparty Computation over Non-Abelian Groups
Recently, Desmedt et al. studied the problem of achieving secure n-party computation over non-Abelian groups. They considered the passive adversary model and they assumed that the...
Xiaoming Sun, Andrew Chi-Chih Yao, Christophe Tart...
FSE
2006
Springer
101views Cryptology» more  FSE 2006»
13 years 11 months ago
Pseudorandom Permutation Families over Abelian Groups
We propose a general framework for differential and linear cryptanalysis of block ciphers when the block is not a bitstring. We prove piling-up lemmas for the generalized different...
Louis Granboulan, Éric Levieil, Gilles Pire...
DM
2010
114views more  DM 2010»
13 years 7 months ago
Remarks on a generalization of the Davenport constant
A generalization of the Davenport constant is investigated. For a finite abelian group G and a positive integer k, let Dk(G) denote the smallest such that each sequence over G of l...
Michael Freeze, Wolfgang A. Schmid