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NEW OPTIMAL LINEAR CODES OVER
$\ \boldsymbol {\mathbb {Z}_{4}}$
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 107 / Issue 1 / February 2023
- Published online by Cambridge University Press:
- 03 June 2022, pp. 158-169
- Print publication:
- February 2023
-
- Article
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We present novel approaches for constructing linear codes over
$\mathbb {Z}_{4}$
from the known ones. We obtain new linear codes, many of which are optimal. In particular, we find all optimal codes of type
$4^{k_{1}}2^{k_{2}}$
for
$k_{1}=2,~k_{2}=0$
and many optimal codes for
$k_{1}=3,~k_{2}=0.$
