Information on Result #676767
Linear OA(387, 757, F3, 20) (dual of [757, 670, 21]-code), using construction X applied to Ce(19) ⊂ Ce(13) based on
- linear OA(379, 729, F3, 20) (dual of [729, 650, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(355, 729, F3, 14) (dual of [729, 674, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [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(387, 703, F3, 2, 20) (dual of [(703, 2), 1319, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(387, 703, F3, 3, 20) (dual of [(703, 3), 2022, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(387, 703, F3, 4, 20) (dual of [(703, 4), 2725, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(387, 703, F3, 5, 20) (dual of [(703, 5), 3428, 21]-NRT-code) | [i] | ||
| 5 | Digital (67, 87, 703)-net over F3 | [i] | ||