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» A Matrix Ring Description for Cyclic Convolutional Codes
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CORR
2007
Springer
101views Education» more  CORR 2007»
13 years 4 months ago
A Matrix Ring Description for Cyclic Convolutional Codes
: In this paper, we study convolutional codes with a specific cyclic structure. By definition, these codes are left ideals in a certain skew polynomial ring. Using that the skew ...
Heide Gluesing-Luerssen, Fai-Lung Tsang
CORR
2004
Springer
99views Education» more  CORR 2004»
13 years 4 months ago
A class of one-dimensional MDS convolutional codes
A class of one-dimensional convolutional codes will be presented. They are all MDS codes, i. e., have the largest distance among all one-dimensional codes of the same length n and...
Heide Gluesing-Luerssen, Barbara Langfeld
CATS
2006
13 years 6 months ago
A Polynomial Algorithm for Codes Based on Directed Graphs
A complete description and proof of correctness are given for a new polynomial time algorithm for a class of codes based on directed graphs and involving construction well known i...
A. V. Kelarev
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