Absdet-Pseudo-Codewords and Perm-Pseudo-Codewords: Definitions and Properties

Details Absdet-Pseudo-Codewords and Perm-Pseudo-Codewords: Definitions and Properties Absdet-Pseudo-Codewords and Perm-Pseudo-Codewords: Definitions and Properties

2009-04-13

arxiv.org/abs/0904.2022v1

Proc. IEEE Int. Symp. Information Theory, Seoul, Korea, June 28 - July 3, 2009

Computer Science

Information Theory

Scientific paper

The linear-programming decoding performance of a binary linear code crucially depends on the structure of the fundamental cone of the parity-check matrix that describes the code. Towards a better understanding of fundamental cones and the vectors therein, we introduce the notion of absdet-pseudo-codewords and perm-pseudo-codewords: we give the definitions, we discuss some simple examples, and we list some of their properties.

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