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TIT
2011
169views more  TIT 2011»
13 years 2 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
CORR
2010
Springer
179views Education» more  CORR 2010»
13 years 4 months ago
Algebraic Constructions of Graph-Based Nested Codes from Protographs
Nested codes have been employed in a large number of communication applications as a specific case of superposition codes, for example to implement binning schemes in the presence ...
Christine A. Kelley, Jörg Kliewer
DCC
2006
IEEE
14 years 7 months ago
Basic Theory in Construction of Boolean Functions with Maximum Possible Annihilator Immunity
So far there is no systematic attempt to construct Boolean functions with maximum annihilator immunity. In this paper we present a construction keeping in mind the basic theory of...
Deepak Kumar Dalai, Subhamoy Maitra, Sumanta Sarka...
ACS
2008
13 years 7 months ago
Algebras Versus Coalgebras
Algebras and coalgebras are fundamental notions for large parts of mathematics. The basic constructions from universal algebra are now expressed in the language of categories and ...
Robert Wisbauer
SIP
2003
13 years 8 months ago
An Algebraic Approach to M-band Wavelets Construction
This paper presents an algebraic approach to construct Mband orthogonal wavelet bases. A system of constraint equations is obtained for M-band orthonormal filters, and then a solu...
Tony Lin, Qingyun Shi, Pengwei Hao