Information on Result #895345
Linear OOA(3233, 4194326, F3, 2, 22) (dual of [(4194326, 2), 8388419, 23]-NRT-code), using (u, u+v)-construction based on
- linear OOA(322, 25, F3, 2, 11) (dual of [(25, 2), 28, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 22, 25)-net over F3, using
- 3 times m-reduction [i] based on digital (11, 25, 25)-net over F3, using
- extracting embedded OOA [i] based on digital (11, 22, 25)-net over F3, using
- linear OOA(3211, 4194301, F3, 2, 22) (dual of [(4194301, 2), 8388391, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3211, 8388602, F3, 22) (dual of [8388602, 8388391, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3211, large, F3, 22) (dual of [large, large−211, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(3211, large, F3, 22) (dual of [large, large−211, 23]-code), using
- OOA 2-folding [i] based on linear OA(3211, 8388602, F3, 22) (dual of [8388602, 8388391, 23]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3233, 2097163, F3, 4, 22) (dual of [(2097163, 4), 8388419, 23]-NRT-code) | [i] | OOA Folding | |