Cyclic ST-AN Codes and Modular ST Distance,
Abstract
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1983
- Accession Number
- ADP002367
Entities
People
- R. Shimada
- T. Hasegawa
- Y. Ohkura
Organizations
- Tokushima Bunri University