Information on Result #813669
Linear OOA(3106, 3285, F3, 2, 20) (dual of [(3285, 2), 6464, 21]-NRT-code), using OOA 2-folding based on linear OA(3106, 6570, F3, 20) (dual of [6570, 6464, 21]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3105, 6569, F3, 20) (dual of [6569, 6464, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(3105, 6561, F3, 20) (dual of [6561, 6456, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(397, 6561, F3, 19) (dual of [6561, 6464, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(30, 8, F3, 0) (dual of [8, 8, 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(19) ⊂ Ce(18) [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(3106, 2961, F3, 3, 20) (dual of [(2961, 3), 8777, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3106, 2961, F3, 4, 20) (dual of [(2961, 4), 11738, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(3106, 2961, F3, 5, 20) (dual of [(2961, 5), 14699, 21]-NRT-code) | [i] | ||
| 4 | Digital (86, 106, 2961)-net over F3 | [i] | ||