Multicarrier error correction using T-codes

This paper considers a multicarrier communication system with n subchannels, each of which may be subject to insertion, deletion or inversion errors. A (variable-length) T-code is employed on each subchannel with two constraints: transmission of codewords starts simultaneously on all subchannels, and the codeword length ℓ is the same for all subchannels, i.e., codewords of different lengths may be used for each transmission in the time domain, but not in the frequency domain. This allows for the construction of an (n, K, d) error-correcting code over FQ, where Q ≤ m_ℓ, and m_ℓ is the number of codewords of length ℓ in the T-code.