Bivariate bicycle codes have predictable dimensions and existence conditions from ring structure but are asymptotically bad, excluding them from good LDPC searches while preserving utility for moderate lengths.
One- sided repeated-root two-dimensional cyclic and constacyclic codes
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Existence and Characterisation of Bivariate Bicycle Codes
Bivariate bicycle codes have predictable dimensions and existence conditions from ring structure but are asymptotically bad, excluding them from good LDPC searches while preserving utility for moderate lengths.