Systems and methods for irregular error correction code construction in order of weights

Abstract

A non-transitory computer-readable medium and related method, including processing circuitry, which performs in-order error correction code construction. The processing circuitry receives a first plurality of matrices. The processing circuitry is to generate a second plurality of matrices based on at least one additive candidate matrix and each respective matrix of the first plurality of matrices. The processing circuitry then generates a third plurality of matrices based on at least one additive test matrix and each respective matrix of the second plurality of matrices. Each respective weight indicative of respective extensibility for each matrix of the second plurality of matrices is determined based on the third plurality of matrices. At least one matrix from the second plurality of matrices is then selected by processing circuitry based on the determined weights. The processing circuitry then generates an error correction code based on one of the at least one selected matrix.

Dependencies are inferred from the claim text.