Information on Result #815788
Linear OOA(3247, 29542, F3, 2, 36) (dual of [(29542, 2), 58837, 37]-NRT-code), using OOA 2-folding based on linear OA(3247, 59084, F3, 36) (dual of [59084, 58837, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(3247, 59085, F3, 36) (dual of [59085, 58838, 37]-code), using
- construction X applied to Ce(36) ⊂ Ce(31) [i] based on
- linear OA(3241, 59049, F3, 37) (dual of [59049, 58808, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3211, 59049, F3, 32) (dual of [59049, 58838, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(36, 36, F3, 3) (dual of [36, 30, 4]-code or 36-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(36) ⊂ Ce(31) [i] based on
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3247, 22908, F3, 3, 36) (dual of [(22908, 3), 68477, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3247, 22908, F3, 4, 36) (dual of [(22908, 4), 91385, 37]-NRT-code) | [i] | ||
| 3 | Linear OOA(3247, 22908, F3, 5, 36) (dual of [(22908, 5), 114293, 37]-NRT-code) | [i] | ||
| 4 | Digital (211, 247, 22908)-net over F3 | [i] | ||