Methods and systems are disclosed for decoding codewords, wherein codewords comprise at least one circulant and are stored in a first dimension of a matrix, and wherein each circulant in a codeword is associated with a location in a second dimension in the matrix. The method includes determining whether a first location in a second dimension of a first circulant of a first codeword corresponds to a second location in the second dimension of a second circulant of a second codeword. The method includes, in response to determining that the first location does not correspond to the second location, decoding the first and second circulant with a first decoding process. The method includes, in response to determining that the first location corresponds to the second location, decoding the first and second circulant with a second decoding process.