Okombo, Mary ImmaculateOjiema, Michael OnyangoKivunge, BenardMarani, Vincent Nyongesa2026-07-072026-07-072025-07-07Okombo, M. I., Ojiema, M. O., Kivunge, B. & Marani, V. N. (2025). A Characterization of Classes of Linear Ternary Codes over the Galois Field GF(3). African Scientific Annual Review, 2(1), pp. 63-83. DOI: https://doi.org/10.51867/Asarev.Maths.2.1.33007-0902http://erepository.kibu.ac.ke/handle/123456789/11875Journal ArticleLinear cyclic ternary codes defined over the Galois field GF(3) exhibit several advantages over their binary counterparts. For instance, they provide an extra option for each pulse resulting into a larger set of available codes at any given length. This paper presents a comprehensive study of classes of linear cyclic ternary codes of length 25 ≤ n ≤ 50. While binary codes have been extensively studied, the properties and applications of longer ternary codes remain less explored. This study address this gap by providing an in-depth characterization of these codes for the stated lengths. Using computational methods implemented in Magma software, a diverse set of linear cyclic ternary codes over GF(3) were generated and analyzed. The paper provides a multifaceted characterization framework that integrates algebraic, combinatorial, and geometric perspectives, offering a holistic understanding of these codes. This study contributes to the theoretical advancement of non-binary codes and their practical applications in error correction, cryptography, and communication systems.enLinear cyclic ternary codesGalois fieldbinary codesArticle