Does anybody has ever constructed QC-LDPC Codes using finite geometries?

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I'm a newcomer to this field, and by reading channel code:morern and classical, I still can not get the key point, so maybe someone has done this work before and can give some advices or perhaps some codes?

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In addition to the helpful comment by @JeanMarie since you are relatively new I am giving some pointers.

Here is another reference:

A decoding algorithm for finite geometry LDPC codes by Liu and Pados, IEEE Transactions on Communications,53(3), 2005.

This paper can easily be found online. As for request for matlab code, this is not normally on scope for this forum. However, I do know that

  1. Magma which is a mathematical programming language focused on discrete mathematics (with a calculator available online) has the facility to encode/decode LDPC codes. See here
  2. Googling "matlab LDPC encoder" yields a lot of results.

Happy hunting.