Abstract
AbstractThe arithmetic an codes are useful for error detection or error correction in both arithmetic operation and digital data transmission. Especially, the cyclic an codes based on an even‐radix number system are considered to be practical. This paper presents a fundamental theory of quaternary arithmetic distance and symmetric quaternary number system using five numerals, −2, −1, 0, 1, 2.Following an introduction of the cyclic an codes, we describe a modular number system and some important properties of Lee‐type modular arithmetic distance. an elementary method to calculate the minimum distance of the codes is also provided.
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