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» On the Weights of Binary Irreducible Cyclic Codes
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TIT
2002
73views more  TIT 2002»
13 years 4 months ago
The minimum distance of the duals of binary irreducible cyclic codes
Abstract--Irreducible cyclic codes have been an interesting subject of study for many years. The weight distribution of some of them have been determined. In this paper, we determi...
Cunsheng Ding, Tor Helleseth, Harald Niederreiter,...
WCC
2005
Springer
115views Cryptology» more  WCC 2005»
13 years 10 months ago
On the Weights of Binary Irreducible Cyclic Codes
This paper is devoted to the study of the weights of binary irreducible cyclic codes. We start from McEliece’s interpretation of these weights by means of Gauss sums. Firstly, a ...
Yves Aubry, Philippe Langevin
STOC
2009
ACM
187views Algorithms» more  STOC 2009»
14 years 5 months ago
Artin automorphisms, cyclotomic function fields, and folded list-decodable codes
Algebraic codes that achieve list decoding capacity were recently constructed by a careful "folding" of the Reed-Solomon code. The "low-degree" nature of this f...
Venkatesan Guruswami
IJCES
2002
100views more  IJCES 2002»
13 years 4 months ago
Neural Network Decoders for Linear Block Codes
This paper presents a class of neural networks suitable for the application of decoding error-correcting codes.The neural model is basically a perceptron with a high-order polynom...
Ja-Ling Wu, Yuen-Hsien Tseng, Yuh-Ming Huang