Information on Result #894951
Linear OOA(394, 4194305, F3, 2, 9) (dual of [(4194305, 2), 8388516, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(34, 4, F3, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;4,3) [i]
- linear OOA(390, 4194301, F3, 2, 9) (dual of [(4194301, 2), 8388512, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(390, 8388602, F3, 9) (dual of [8388602, 8388512, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(390, large, F3, 9) (dual of [large, large−90, 10]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(390, large, F3, 9) (dual of [large, large−90, 10]-code), using
- OOA 2-folding [i] based on linear OA(390, 8388602, F3, 9) (dual of [8388602, 8388512, 10]-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(394, 4194305, F3, 3, 9) (dual of [(4194305, 3), 12582821, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(394, 4194305, F3, 4, 9) (dual of [(4194305, 4), 16777126, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(394, 4194305, F3, 5, 9) (dual of [(4194305, 5), 20971431, 10]-NRT-code) | [i] | ||
| 4 | Digital (85, 94, 4194305)-net over F3 | [i] | ||
| 5 | Linear OOA(394, 2097152, F3, 4, 9) (dual of [(2097152, 4), 8388514, 10]-NRT-code) | [i] | OOA Folding | |