Information on Result #684670
Linear OA(777, 117677, F7, 14) (dual of [117677, 117600, 15]-code), using construction X applied to Ce(14) ⊂ Ce(9) 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(749, 117649, F7, 10) (dual of [117649, 117600, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(74, 28, F7, 3) (dual of [28, 24, 4]-code or 28-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(777, 117677, F7, 2, 14) (dual of [(117677, 2), 235277, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(777, 117677, F7, 3, 14) (dual of [(117677, 3), 352954, 15]-NRT-code) | [i] | ||
| 3 | Digital (63, 77, 117677)-net over F7 | [i] | ||
| 4 | Linear OOA(777, 58838, F7, 2, 14) (dual of [(58838, 2), 117599, 15]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(777, 39225, F7, 3, 14) (dual of [(39225, 3), 117598, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(777, 16811, F7, 14, 14) (dual of [(16811, 14), 235277, 15]-NRT-code) | [i] | OA Folding and Stacking | |