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Conference paper

Euclidean Geometry Codes, minimum weight words and decodable error-patterns using bit-flipping

In Proceedings of the 2005 Ieee International Symposium on Information Theory — 2005, pp. 2171-2173

By Høholdt, Tom1; Justesen, Jørn2,3; Jonsson, Bergtor

From

Department of Mathematics, Technical University of Denmark1

Coding, Department of Photonics Engineering, Technical University of Denmark2

Department of Photonics Engineering, Technical University of Denmark3

We determine the number of minimum wigth words in a class of Euclidean Geometry codes and link the performance of the bit-flipping decoding algorithm to the geometry of the error patterns.

Language: English
Publisher: IEEE
Year: 2005
Pages: 2171-2173
Proceedings: 2005 IEEE International Symposium on Information Theory
ISBN: 0780391519 , 1509098909 , 9780780391512 and 9781509098903
Types: Conference paper
DOI: 10.1109/ISIT.2005.1523731
Keywords

Binary codes Error correction codes Euclidean geometry codes Galois fields Geometry Iterative algorithms Iterative decoding Logic Mathematics Parity check codes bit-flipping decoding decodable error-patterns decoding geometric codes geometry minimum weight codewords

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