Information on Result #812646
Linear OOA(331, 367, F3, 2, 8) (dual of [(367, 2), 703, 9]-NRT-code), using OOA 2-folding based on linear OA(331, 734, F3, 8) (dual of [734, 703, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(331, 735, F3, 8) (dual of [735, 704, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(331, 729, F3, 8) (dual of [729, 698, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(325, 729, F3, 7) (dual of [729, 704, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(7) ⊂ Ce(6) [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(3182, 4194668, F3, 2, 16) (dual of [(4194668, 2), 8389154, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3197, 4194668, F3, 2, 17) (dual of [(4194668, 2), 8389139, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(331, 367, F3, 3, 8) (dual of [(367, 3), 1070, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(331, 367, F3, 4, 8) (dual of [(367, 4), 1437, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(331, 367, F3, 5, 8) (dual of [(367, 5), 1804, 9]-NRT-code) | [i] | ||
| 6 | Digital (23, 31, 367)-net over F3 | [i] | ||