Information on Result #1060704
Linear OOA(3187, 1195750, F3, 4, 20) (dual of [(1195750, 4), 4782813, 21]-NRT-code), using OOA 4-folding based on linear OA(3187, 4783000, F3, 20) (dual of [4783000, 4782813, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3187, 4783001, F3, 20) (dual of [4783001, 4782814, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(16) [i] based on
- linear OA(3183, 4782969, F3, 20) (dual of [4782969, 4782786, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3155, 4782969, F3, 17) (dual of [4782969, 4782814, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(34, 32, F3, 2) (dual of [32, 28, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(19) ⊂ Ce(16) [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(3188, 1195750, F3, 4, 20) (dual of [(1195750, 4), 4782812, 21]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3187, 1195750, F3, 5, 20) (dual of [(1195750, 5), 5978563, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (167, 187, 1195750)-net over F3 | [i] | ||