Quaternary Reed-Muller codes

Joaquim Borges, Cristina Fernández, Kevin T. Phelps

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    15 Citations (Scopus)


    The class of quaternary Reed-Muller codes is introduced as a generalization of Reed-Muller codes to ℤ4-1inear codes. Properties of this class of codes are established including the rank and kernel of the Gray map image of codes in this class. The class includes all ℤ4-linear Kerdock-like and Preparata-like codes. © 2005 IEEE.
    Original languageEnglish
    Pages (from-to)2686-2691
    JournalIEEE Transactions on Information Theory
    Publication statusPublished - 1 Jul 2005


    • Kernel
    • Quaternary Reed-Muller (QRM)
    • Quaternary codes
    • Rank
    • Reed-Muller

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