Information on Result #684812
Linear OA(735, 16826, F7, 8) (dual of [16826, 16791, 9]-code), using construction X applied to Ce(7) ⊂ Ce(3) based on
- linear OA(731, 16807, F7, 8) (dual of [16807, 16776, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(716, 16807, F7, 4) (dual of [16807, 16791, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(74, 19, F7, 3) (dual of [19, 15, 4]-code or 19-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(735, 16826, F7, 2, 8) (dual of [(16826, 2), 33617, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(735, 16826, F7, 3, 8) (dual of [(16826, 3), 50443, 9]-NRT-code) | [i] | ||
| 3 | Digital (27, 35, 16826)-net over F7 | [i] | ||
| 4 | Linear OOA(735, 8413, F7, 2, 8) (dual of [(8413, 2), 16791, 9]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(735, 5608, F7, 3, 8) (dual of [(5608, 3), 16789, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(735, 4206, F7, 8, 8) (dual of [(4206, 8), 33613, 9]-NRT-code) | [i] | OA Folding and Stacking | |