Unitals and ovals of symmetric block designs in LDPC and space-time coding

Bruno R. Andriamanalimanana

doi:10.1117/12.541674

10 August 2004 Unitals and ovals of symmetric block designs in LDPC and space-time coding

Bruno R. Andriamanalimanana

Proceedings Volume 5440, Digital Wireless Communications VI; (2004) https://doi.org/10.1117/12.541674
Event: Defense and Security, 2004, Orlando, Florida, United States

Abstract

An approach to the design of LDPC (low density parity check) error-correction and space-time modulation codes involves starting with known mathematical and combinatorial structures, and deriving code properties from structure properties. This paper reports on an investigation of unital and oval configurations within generic symmetric combinatorial designs, not just classical projective planes, as the underlying structure for classes of space-time LDPC outer codes. Of particular interest are the encoding and iterative (sum-product) decoding gains that these codes may provide. Various small-length cases have been numerically implemented in Java and Matlab for a number of channel models.

Citation Download Citation

Bruno R. Andriamanalimanana "Unitals and ovals of symmetric block designs in LDPC and space-time coding", Proc. SPIE 5440, Digital Wireless Communications VI, (10 August 2004); https://doi.org/10.1117/12.541674

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