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In recent times quaternary codes have attracted the eye of the coding neighborhood as numerous infamous binary nonlinear codes containing extra codewords than any recognized linear codes have been stumbled on to be binary pictures less than the grey map of linear codes over ninety four. This discovery opens the best way for a broader research of quaternary codes, which represent a swiftly starting to be region of coding conception. This publication is predicated at the author's lectures in Xi'an, China and Lund, Sweden and covers the latest advancements of this idea.
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