Dr Jens Zumbraegel

will speak on

On the Pseudocodeword Redundancy

Time: 4:00PM
Date: Mon 8th February 2010
Location: Mathematical Sciences Seminar Room [map]

Abstract: We define the AWGNC, BSC, and max-fractional pseudocodeword
redundancy of a code as the smallest number of rows in a parity-check matrix such that the corresponding minimum pseudoweight is equal to the minimum Hamming distance. We show that most codes do not have a finite pseudocodeword redundancy. We also provide bounds on the pseudocodeword
redundancy for some families of codes, including codes based on designs.

Joint work with Mark F. Flanagan and Vitaly Skachek.

(This talk is part of the Algebra and Number Theory series.)

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