Abstract

Binary block codes are constructed that are capable of correcting, in every <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">t \geq 3</tex> consecutive words, either one substitution error in each one of, at the most, <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">t-2</tex> words, or one synchronization error (but not both). In order to decode any one word, the decoder needs to wait for the reception of, at the most, the next <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">t-1</tex> words.

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