Information on Result #1061385
Linear OOA(3243, 1195750, F3, 4, 26) (dual of [(1195750, 4), 4782757, 27]-NRT-code), using OOA 4-folding based on linear OA(3243, 4783000, F3, 26) (dual of [4783000, 4782757, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3243, 4783001, F3, 26) (dual of [4783001, 4782758, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- linear OA(3239, 4782969, F3, 26) (dual of [4782969, 4782730, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3211, 4782969, F3, 23) (dual of [4782969, 4782758, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(25) ⊂ Ce(22) [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(3244, 1195750, F3, 4, 26) (dual of [(1195750, 4), 4782756, 27]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3243, 1168287, F3, 5, 26) (dual of [(1168287, 5), 5841192, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (217, 243, 1168287)-net over F3 | [i] | ||