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Irregular Repeat Accumulate (IRA) Codes build on top of the ideas of RA codes. IRA replaces the outer code in RA code with a Low Density Generator Matrix code.<ref>Hui Jin, Aamod Khandekar & Robert McEliece, "Irregular Repeat-Accumulate Codes."[http://www.mceliece.caltech.edu/publications/Brest00.pdf]</ref> IRA codes first repeats information bits different times, and then accumulates subsets of these repeated bits to generate parity bits. The irregular degree profile on the information nodes, together with the degree profile on the check nodes, can be designed using density evolution.
Systematic IRA codes are considered a form of [[LDPC]] code. Litigation over whether the DVB-S2 LDPC code is a form of IRA code is ongoing.<ref>[http://www.law360.com/articles/622198/hughes-satellite-codes-spark-caltech-patent-suit Hughes Satellite Codes Spark Caltech Patent Suit]</ref> US patents 7,116,710; 7,421,032; 7,916,781; and 8,284,833 are at issue.{{cn|date=August 2021}}
==Notes==
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