Akademik Veri Yönetim Sistemi
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.52, sa.6, ss.2011-2023, 2015 (SCI-Expanded)
This paper determines the structures of one-homogeneous weight codes over finite chain rings and studies the algebraic properties of these codes. We present explicit constructions of one-homogeneous weight codes over finite chain rings. By taking advantage of the distance-preserving Gray map defined in [7] from the finite chain ring to its residue field, we obtain a family of optimal one-Hamming weight codes over the residue field. Further, we propose a generalized method that also includes the examples of optimal codes obtained by Shi et al. in [17].