Every Bit Counts: A New Version of Non-binary VT Codes with More Efficient Encoder

12/21/2022

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by   Tuan Thanh Nguyen, et al.

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In this work, we present a new version of non-binary VT codes that are capable of correcting a single deletion or single insertion. Moreover, we provide the first known linear time algorithms that encode user messages into these codes of length n over the q-ary alphabet for q≥ 2 with at most log_q n + 1 redundant symbols, while the optimal redundancy required is at least log_q n + log_q (q - 1) symbols. Our designed encoder reduces the redundancy of the best-known encoder of Tenengolts (1984) by at least 2+log_q(3) redundant symbols, or equivalently 2log_2 q+3 redundant bits.