Information on Result #641187
Linear OA(423, 27, F4, 17) (dual of [27, 4, 18]-code), using juxtaposition based on
- linear OA(46, 10, F4, 5) (dual of [10, 4, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,4) [i]
- discarding factors / shortening the dual code based on linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- linear OA(413, 17, F4, 11) (dual of [17, 4, 12]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4180, 4124, F4, 35) (dual of [4124, 3944, 36]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4206, 16412, F4, 35) (dual of [16412, 16206, 36]-code) | [i] | ||
| 3 | Linear OA(4232, 65564, F4, 35) (dual of [65564, 65332, 36]-code) | [i] | ||
| 4 | Linear OA(4258, 262172, F4, 35) (dual of [262172, 261914, 36]-code) | [i] | ||
| 5 | Linear OA(4174, 4123, F4, 34) (dual of [4123, 3949, 35]-code) | [i] | ||
| 6 | Linear OA(4199, 16411, F4, 34) (dual of [16411, 16212, 35]-code) | [i] | ||
| 7 | Linear OA(4224, 65563, F4, 34) (dual of [65563, 65339, 35]-code) | [i] | ||
| 8 | Linear OA(4249, 262171, F4, 34) (dual of [262171, 261922, 35]-code) | [i] | ||
| 9 | Linear OOA(423, 9, F4, 3, 17) (dual of [(9, 3), 4, 18]-NRT-code) | [i] | OOA Folding | |