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Design of Small Rate, Close to Ideal, GLDPC-Staircase AL-FEC Codes for the Erasure Channel

Ferdaouss Mattoussi 1 Vincent Roca 1 Bessem Sayadi 2 
1 PLANETE - Protocols and applications for the Internet
Inria Grenoble - Rhône-Alpes, CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : This work introduces the Generalized Low Density Parity Check (GLDPC)-Staircase codes for the erasure channel, that are constructed by extending LDPC-Staircase codes through Reed Solomon (RS) codes based on "quasi" Hankel matrices. This construction has several key benefits: in addition to the LDPC-Staircase repair symbols, it adds extra-repair symbols that can be produced on demand and in large quantities, which provides small rate capabilities. Additionally, with selecting the best internal parameters of GLDPC graph and under hy- brid Iterative/Reed-Solomon/Maximum Likelihood decoding, the GLDPC-Staircase codes feature a very small decoding overhead and a low error floor. These excellent erasure capabilities, close to that of ideal, MDS codes, are obtained both with large and very small objects, whereas, as a matter of comparison, LDPC codes are known to be asymptotically good. Therefore, these properties make GLDPC-Staircase codes an excellent AL-FEC solution for many situations that require erasure protection such as media streaming.
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Submitted on : Thursday, September 27, 2012 - 3:26:25 PM
Last modification on : Friday, February 4, 2022 - 3:23:28 AM
Long-term archiving on: : Friday, December 28, 2012 - 6:40:08 AM


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  • HAL Id : hal-00736071, version 1



Ferdaouss Mattoussi, Vincent Roca, Bessem Sayadi. Design of Small Rate, Close to Ideal, GLDPC-Staircase AL-FEC Codes for the Erasure Channel. IEEE Globecom 2012, Dr. Hossein Eslambolchi (organizing committee general chair), Dec 2012, Anaheim, United States. ⟨hal-00736071⟩



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