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A modification to the usual iterative decoding algorithm for LDPC codes, called Bounded Angle Iterative (BA-I) decoding, is introduced. The modified decoder erases code-words detected during iterations that fall outside a maximum decoding angle with respect to the received observation. The new algorithm is applicable in scenarios that demand a very low undetected error rate but require short LDPC codes that are too vulnerable to undetected errors when the usual iterative decoding algorithm is used. BA-I decoding provides a means of reducing the maximum undetected error rate for short LDPC codes significantly, by incorporating a simple extra condition into the iterative decoder structure without redesigning the code.
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