Identification capacity of the q-ary noisy permutation channel is (q-1)/2 for full-rank strictly positive noise, with matching achievability and strong converse up to log factors.
Error Correction for DNA Storage
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abstract
DNA-based storage is an emerging storage technology that provides high information density and long duration. Due to the physical constraints in the reading and writing processes, error correction in DNA storage poses several interesting coding theoretic challenges, some of which are new. In this paper, we give a brief introduction to some of the coding challenges for DNA-based storage, including deletion/insertion correcting codes, codes over sliced channels, and duplication correcting codes.
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Identification Over Noisy Permutation Channels
Identification capacity of the q-ary noisy permutation channel is (q-1)/2 for full-rank strictly positive noise, with matching achievability and strong converse up to log factors.