An apparatus encodes an input information bit stream comprised of 5 bits into a (11,5) codeword comprised of 11 coded symbols. The apparatus comprises a Reed-Muller encoder for encoding the input information bit stream into a first order Reed-Muller codeword comprised of 16 coded symbols; and a puncturer for selecting a second coded symbol position or a third coded symbol position out of the 16 coded symbols constituting the first order Reed-Muller codeword, puncturing the coded symbols at intervals of 3 symbols beginning at the selected position, and thus outputting an optimal (11,5) codeword.

 
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