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ORDER
2006
128views more  ORDER 2006»
13 years 7 months ago
Algebras Defined from Ordered Sets and the Varieties they Generate
We investigate ways of representing ordered sets as algebras and how the order relation is reflected in the algebraic properties of the variety (equational class) generated by the...
Joel Berman, Willem J. Blok
IJAC
2010
88views more  IJAC 2010»
13 years 2 months ago
Finite Posets and their Representation Algebras
A finite poset (P S) determines a finite dimensional algebra TP over the field over the field F of two elements, with an upper triangular representation. We determine the structure...
Murray Gerstenhaber, Mary Schaps
AAECC
1997
Springer
113views Algorithms» more  AAECC 1997»
14 years 2 days ago
Order Functions and Evaluation Codes
Based on the notion of an order function we construct and determine the parameters of a class of error-correcting evaluation codes. This class includes the one-point algebraic geo...
Tom Høholdt, Jacobus H. van Lint, Ruud Pell...
CRYPTO
2001
Springer
152views Cryptology» more  CRYPTO 2001»
14 years 12 days ago
Secure Distributed Linear Algebra in a Constant Number of Rounds
Consider a network of processors among which elements in a finite field K can be verifiably shared in a constant number of rounds. Assume furthermore constant-round protocols ar...
Ronald Cramer, Ivan Damgård
BICOB
2010
Springer
14 years 21 days ago
Algebraic Theory of DNA Recombination
In this paper we investigate the structure and representation of n-ary algebras arising from DNA recombination, where n is a number of DNA segments participating in recombination. ...
Sergei R. Sverchkov