Twelfth Institute of Mathematics and its Applications
International Conference on Cryptography and Coding

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15th - 17th December 2009  Royal Agricultural College, Cirencester, UK

Invited Speaker: Frank R. Kschischang

Title: Subspace Codes

Authors: Azadeh Khaleghi, Danilo Silva, and Frank R. Kschischang

Abstract: This paper is a survey of bounds and constructions for subspace codes designed for the injection metric, a distance measure that arises in the context of correcting adversarial packet insertions in linear network coding. The construction of lifted rank-metric codes is reviewed, along with improved constructions leading to codes with strictly more codewords. Algorithms for encoding and decoding are also briefly described.