A simple definition of generalized quadratic residue codes, that is, quadratic residue codes of block length <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">pᵐ</tex> , is given, and an account of many of their properties is presented.
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Lint et al. (1978) studied this question.
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