Information on Result #2235082
Linear OA(3208, 6616, F3, 36) (dual of [6616, 6408, 37]-code), using 1 times truncation based on linear OA(3209, 6617, F3, 37) (dual of [6617, 6408, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(28) [i] based on
- linear OA(3193, 6561, F3, 37) (dual of [6561, 6368, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3153, 6561, F3, 29) (dual of [6561, 6408, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(316, 56, F3, 7) (dual of [56, 40, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
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(3208, 5403, F3, 2, 36) (dual of [(5403, 2), 10598, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3208, 5403, F3, 3, 36) (dual of [(5403, 3), 16001, 37]-NRT-code) | [i] | ||
| 3 | Linear OOA(3208, 5403, F3, 4, 36) (dual of [(5403, 4), 21404, 37]-NRT-code) | [i] | ||
| 4 | Linear OOA(3208, 5403, F3, 5, 36) (dual of [(5403, 5), 26807, 37]-NRT-code) | [i] | ||
| 5 | Digital (172, 208, 5403)-net over F3 | [i] | ||
| 6 | Linear OOA(3208, 3308, F3, 2, 36) (dual of [(3308, 2), 6408, 37]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3208, 2205, F3, 3, 36) (dual of [(2205, 3), 6407, 37]-NRT-code) | [i] | ||
| 8 | Linear OOA(3208, 1654, F3, 4, 36) (dual of [(1654, 4), 6408, 37]-NRT-code) | [i] | ||
| 9 | Linear OOA(3208, 1323, F3, 5, 36) (dual of [(1323, 5), 6407, 37]-NRT-code) | [i] | ||