Information on Result #684665
Linear OA(7107, 117677, F7, 20) (dual of [117677, 117570, 21]-code), using construction X applied to Ce(19) ⊂ Ce(15) based on
- linear OA(7103, 117649, F7, 20) (dual of [117649, 117546, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(779, 117649, F7, 16) (dual of [117649, 117570, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(7107, 117677, F7, 2, 20) (dual of [(117677, 2), 235247, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7107, 117677, F7, 3, 20) (dual of [(117677, 3), 352924, 21]-NRT-code) | [i] | ||
| 3 | Digital (87, 107, 117677)-net over F7 | [i] | ||
| 4 | Linear OOA(7107, 58838, F7, 2, 20) (dual of [(58838, 2), 117569, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(7107, 39225, F7, 3, 20) (dual of [(39225, 3), 117568, 21]-NRT-code) | [i] | ||