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» Linear Systems over Finite Abelian Groups
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DCC
1998
IEEE
13 years 5 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 9 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 7 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 9 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 5 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