Permutation codes are widely studied due to their promising applications in flash memories. Based on the theory of permutation groups and subgroups, two classes of permutation codes are constructed to… Click to show full abstract
Permutation codes are widely studied due to their promising applications in flash memories. Based on the theory of permutation groups and subgroups, two classes of permutation codes are constructed to correct a single burst deletion of length up to a designated parameter. The proposed codes can achieve larger rates than available codes while maintaining simple interleaving structures. The decoding methods for the proposed codes are provided in proofs and verified by examples.
               
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