On majority-logic-decodable arithmetic codes
Chin-Long Chen, Robert Tien-Wen Chien, Chao-Kai Liu · IEEE Transactions on Information Theory · 1973
A new class of cyclic multiple-error-correcting arithmetic codes is described, and the minimum distance of these codes is determined analytically. A two-step majority-logic decoding scheme is developed for these arithmetic codes. The new class of codes is extended to a new class of arithmetic codes having a primitive cyclotomic factor as the generator and anL-step majority-logic decoding scheme is developed for the extended class of codes.