Information on Result #2248658
Linear OA(776, 117670, F7, 14) (dual of [117670, 117594, 15]-code), using 1 times truncation based on linear OA(777, 117671, F7, 15) (dual of [117671, 117594, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- linear OA(773, 117649, F7, 15) (dual of [117649, 117576, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(755, 117649, F7, 11) (dual of [117649, 117594, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(74, 22, F7, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,7)), 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(776, 117670, F7, 2, 14) (dual of [(117670, 2), 235264, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(776, 117670, F7, 3, 14) (dual of [(117670, 3), 352934, 15]-NRT-code) | [i] | ||
| 3 | Digital (62, 76, 117670)-net over F7 | [i] | ||
| 4 | Linear OOA(776, 58835, F7, 2, 14) (dual of [(58835, 2), 117594, 15]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(776, 39223, F7, 3, 14) (dual of [(39223, 3), 117593, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(776, 16810, F7, 14, 14) (dual of [(16810, 14), 235264, 15]-NRT-code) | [i] | OA Folding and Stacking | |