Information on Result #1466349
Linear OOA(3153, 4194345, F3, 2, 14) (dual of [(4194345, 2), 8388537, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(317, 44, F3, 2, 7) (dual of [(44, 2), 71, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(317, 88, F3, 7) (dual of [88, 71, 8]-code), using
- a “Gra†code from Grassl’s database [i]
- OOA 2-folding [i] based on linear OA(317, 88, F3, 7) (dual of [88, 71, 8]-code), using
- linear OOA(3136, 4194301, F3, 2, 14) (dual of [(4194301, 2), 8388466, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3136, 8388602, F3, 14) (dual of [8388602, 8388466, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- OOA 2-folding [i] based on linear OA(3136, 8388602, F3, 14) (dual of [8388602, 8388466, 15]-code), using
Mode: 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(3153, 4194345, F3, 3, 14) (dual of [(4194345, 3), 12582882, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3153, 4194345, F3, 4, 14) (dual of [(4194345, 4), 16777227, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(3153, 4194345, F3, 5, 14) (dual of [(4194345, 5), 20971572, 15]-NRT-code) | [i] | ||
| 4 | Digital (139, 153, 4194345)-net over F3 | [i] | ||