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Cyclic ST-AN Codes and Modular ST Distance,
TOKUSHIMA BUNRI UNIV (JAPAN)
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Cyclic AN codes play important roles for detecting and correcting errors in digital systems consisting of arithmetic processors and data transmission channels. This paper describes a new class of ternary cyclic AN codes for the digital systems using the symmetric-ternary numbers. In this class, every code with code length n is an Ideal in the finite ring of the absolute-minimum residue class modulo 3 to the nth power-1. A new concept of modular distance is introduced for these codes. Many formulas to calculate the actual minimum distance are presented. A good number of multiple-error correcting codes are effectively constructed. Author
APPROVED FOR PUBLIC RELEASE