Makale detayı · 2015
ONE HOMOGENEOUS WEIGHT CODES OVER FINITE CHAIN RINGS
Bulletin of the Korean Mathematical Society
- Yıl
- 2015
- ISSN
1015-8634- Tür
- article
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Özet
İngilizce (OpenAlex)
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].
Konular
- Coding theory and cryptography
- graph theory and CDMA systems
- Cooperative Communication and Network Coding
Birincil konu Coding theory and cryptography