TR#: | CS0344 |

Class: | CS |

Title: | On Cyclic MDS Codes of Length q Over GF(g) |

Authors: | Ron M. and Gadiel Seroussi |

CS0344.pdf | |

Abstract: | It is shown that a cyclic code C of length q over GF(q) is MDS if and only if either i) q is a prime, in which case C is equivalent, up to a coordinate permutation, to an extended Reed-Solomon code, or ii) C is a trivial code of dimension k e {l,q-l,q}. Hence, there exists a non-trivial cyclic extended Reed-Solomon code of length q over GF(q) if and only if q is a prime. |

Copyright | The above paper is copyright by the Technion, Author(s), or others. Please contact the author(s) for more information |

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