Information on Result #684726
Linear OA(795, 16832, F7, 21) (dual of [16832, 16737, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,8]) based on
- linear OA(791, 16808, F7, 21) (dual of [16808, 16717, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(771, 16808, F7, 17) (dual of [16808, 16737, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(74, 24, F7, 3) (dual of [24, 20, 4]-code or 24-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 OA(796, 16833, F7, 21) (dual of [16833, 16737, 22]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(795, 16832, F7, 2, 21) (dual of [(16832, 2), 33569, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(795, 16832, F7, 3, 21) (dual of [(16832, 3), 50401, 22]-NRT-code) | [i] | ||
| 4 | Digital (74, 95, 16832)-net over F7 | [i] | ||
| 5 | Linear OA(796, 16834, F7, 21) (dual of [16834, 16738, 22]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(795, 8416, F7, 2, 21) (dual of [(8416, 2), 16737, 22]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(795, 5610, F7, 3, 21) (dual of [(5610, 3), 16735, 22]-NRT-code) | [i] | ||
| 8 | Linear OOA(795, 1683, F7, 21, 21) (dual of [(1683, 21), 35248, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |