Information on Result #2266500
Linear OA(3191, 6607, F3, 34) (dual of [6607, 6416, 35]-code), using 3 times code embedding in larger space based on linear OA(3188, 6604, F3, 34) (dual of [6604, 6416, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(27) [i] based on
- linear OA(3177, 6561, F3, 34) (dual of [6561, 6384, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3145, 6561, F3, 28) (dual of [6561, 6416, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(311, 43, F3, 5) (dual of [43, 32, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-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(3191, 4322, F3, 2, 34) (dual of [(4322, 2), 8453, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3191, 4322, F3, 3, 34) (dual of [(4322, 3), 12775, 35]-NRT-code) | [i] | ||
| 3 | Linear OOA(3191, 4322, F3, 4, 34) (dual of [(4322, 4), 17097, 35]-NRT-code) | [i] | ||
| 4 | Linear OOA(3191, 4322, F3, 5, 34) (dual of [(4322, 5), 21419, 35]-NRT-code) | [i] | ||
| 5 | Digital (157, 191, 4322)-net over F3 | [i] | ||