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» Network Coding Theory Via Commutative Algebra
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TIT
2011
169views more  TIT 2011»
12 years 11 months ago
Network Coding Theory Via Commutative Algebra
—The fundamental result of linear network coding asserts the existence of optimal codes over acyclic networks when the symbol field is sufficiently large. The restriction to just...
Shuo-Yen Robert Li, Qifu Tyler Sun

Book
712views
15 years 2 months ago
Network Coding Theory
The book covers several topics such as Acyclic Networks, Cyclic Networks, Network Coding and Algebraic Coding, Superposition Coding and Max-Flow Bound, Network Codes for Acyclic Ne...
Raymond W. Yeung, Shuo-Yen Robert Li, Ning Cai, Zh...
PARA
2004
Springer
13 years 9 months ago
Automatic Derivation of Linear Algebra Algorithms with Application to Control Theory
It is our belief that the ultimate automatic system for deriving linear algebra libraries should be able to generate a set of algorithms starting from the mathematical specificati...
Paolo Bientinesi, Sergey Kolos, Robert A. van de G...
TIT
2011
144views more  TIT 2011»
12 years 11 months ago
Network Generalized Hamming Weight
— In this paper, we extend the notion of generalized Hamming weight for classical linear block code to linear network codes by introducing the network generalized Hamming weight ...
Chi Kin Ngai, Raymond W. Yeung, Zhen Zhang
LPAR
2007
Springer
13 years 10 months ago
Deciding Knowledge in Security Protocols for Monoidal Equational Theories
Abstract. In formal approaches, messages sent over a network are usually modeled by terms together with an equational theory, axiomatizing the properties of the cryptographic funct...
Véronique Cortier, Stéphanie Delaune