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» Linear Codes over Finite Chain Rings
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GLOBECOM
2008
IEEE
13 years 11 months ago
Physical Layer Network Coding Schemes over Finite and Infinite Fields
: Direct application of network coding at the physical layer - physical layer network coding (PNC) - is a promising technique for two-way relay wireless networks. In a two-way rela...
Shengli Zhang, Soung Chang Liew, Lu Lu
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
CORR
2010
Springer
98views Education» more  CORR 2010»
13 years 5 months ago
Linear Operator Channels over Finite Fields
Motivated by random linear network coding, we study the communication through channels, called linear operator channels (LOCs), that perform linear operation over finite fields. Fo...
Shenghao Yang, Siu-Wai Ho, Jin Meng, En-Hui Yang
TIT
2011
169views more  TIT 2011»
13 years 9 days 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
JCT
2010
85views more  JCT 2010»
13 years 5 days ago
Symmetric bilinear forms over finite fields of even characteristic
Let Sm be the set of symmetric bilinear forms on an m-dimensional vector space over GF(q), where q is a power of two. A subset Y of Sm is called an (m, d)-set if the difference of...
Kai-Uwe Schmidt