Information on Result #676601
Linear OA(3134, 745, F3, 34) (dual of [745, 611, 35]-code), using construction X applied to Ce(33) ⊂ Ce(30) based on
- linear OA(3130, 729, F3, 34) (dual of [729, 599, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3118, 729, F3, 31) (dual of [729, 611, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(3134, 588, F3, 2, 34) (dual of [(588, 2), 1042, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3134, 588, F3, 3, 34) (dual of [(588, 3), 1630, 35]-NRT-code) | [i] | ||
| 3 | Linear OOA(3134, 588, F3, 4, 34) (dual of [(588, 4), 2218, 35]-NRT-code) | [i] | ||
| 4 | Linear OOA(3134, 588, F3, 5, 34) (dual of [(588, 5), 2806, 35]-NRT-code) | [i] | ||
| 5 | Digital (100, 134, 588)-net over F3 | [i] | ||
| 6 | Linear OOA(3134, 149, F3, 5, 34) (dual of [(149, 5), 611, 35]-NRT-code) | [i] | OOA Folding | |