Information on Result #676603
Linear OA(3128, 745, F3, 32) (dual of [745, 617, 33]-code), using construction X applied to Ce(31) ⊂ Ce(28) based on
- linear OA(3124, 729, F3, 32) (dual of [729, 605, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3112, 729, F3, 29) (dual of [729, 617, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(3128, 604, F3, 2, 32) (dual of [(604, 2), 1080, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3128, 604, F3, 3, 32) (dual of [(604, 3), 1684, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(3128, 604, F3, 4, 32) (dual of [(604, 4), 2288, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(3128, 604, F3, 5, 32) (dual of [(604, 5), 2892, 33]-NRT-code) | [i] | ||
| 5 | Digital (96, 128, 604)-net over F3 | [i] | ||