Information on Result #737479
Linear OA(596, 390664, F5, 14) (dual of [390664, 390568, 15]-code), using construction X applied to Ce(13) ⊂ Ce(8) based on
- linear OA(589, 390625, F5, 14) (dual of [390625, 390536, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(557, 390625, F5, 9) (dual of [390625, 390568, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(57, 39, F5, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 44, F5, 4) (dual of [44, 37, 5]-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(596, 390664, F5, 2, 14) (dual of [(390664, 2), 781232, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(596, 390664, F5, 3, 14) (dual of [(390664, 3), 1171896, 15]-NRT-code) | [i] | ||
| 3 | Digital (82, 96, 390664)-net over F5 | [i] | ||
| 4 | Linear OA(597, 390666, F5, 14) (dual of [390666, 390569, 15]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(596, 195332, F5, 2, 14) (dual of [(195332, 2), 390568, 15]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(596, 130221, F5, 3, 14) (dual of [(130221, 3), 390567, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(596, 55809, F5, 14, 14) (dual of [(55809, 14), 781230, 15]-NRT-code) | [i] | OA Folding and Stacking | |