Information on Result #813056
Linear OOA(355, 367, F3, 2, 14) (dual of [(367, 2), 679, 15]-NRT-code), using OOA 2-folding based on linear OA(355, 734, F3, 14) (dual of [734, 679, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(355, 735, F3, 14) (dual of [735, 680, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(355, 729, F3, 14) (dual of [729, 674, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(349, 729, F3, 13) (dual of [729, 680, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(30, 6, F3, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [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(355, 367, F3, 3, 14) (dual of [(367, 3), 1046, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(355, 367, F3, 4, 14) (dual of [(367, 4), 1413, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(355, 367, F3, 5, 14) (dual of [(367, 5), 1780, 15]-NRT-code) | [i] | ||
| 4 | Digital (41, 55, 367)-net over F3 | [i] | ||