Information on Result #676610
Linear OA(3107, 745, F3, 26) (dual of [745, 638, 27]-code), using construction X applied to Ce(25) ⊂ Ce(22) based on
- linear OA(3103, 729, F3, 26) (dual of [729, 626, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(391, 729, F3, 23) (dual of [729, 638, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(34, 16, F3, 2) (dual of [16, 12, 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
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(3107, 606, F3, 2, 26) (dual of [(606, 2), 1105, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3107, 606, F3, 3, 26) (dual of [(606, 3), 1711, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(3107, 606, F3, 4, 26) (dual of [(606, 4), 2317, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(3107, 606, F3, 5, 26) (dual of [(606, 5), 2923, 27]-NRT-code) | [i] | ||
| 5 | Digital (81, 107, 606)-net over F3 | [i] | ||