Korean J. Math. Vol. 20 No. 4 (2012) pp.525-532
DOI: https://doi.org/10.11568/kjm.2012.20.4.525

LIFTS OF THE TERNARY QUADRATIC RESIDUE CODE OF LENGTH 24 AND THEIR WEIGHT ENUMERATORS

Article Sidebar

PDF
Published: Dec 30, 2012

Main Article Content

Young Ho Park

Abstract

We study the extended quadratic residue code of length 24 over $\mathbb{Z}_3$ and its lifts to rings \mathbb{Z}_{3^e}$ for all e including 3-adic integers ring. We completely determine the weight enumerators of all these lifts.



Article Details

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 3.0 Unported License.