Information on Result #684802
Linear OA(775, 16826, F7, 17) (dual of [16826, 16751, 18]-code), using construction X applied to Ce(16) ⊂ Ce(12) based on
- linear OA(771, 16807, F7, 17) (dual of [16807, 16736, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(756, 16807, F7, 13) (dual of [16807, 16751, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(775, 15795, F7, 2, 17) (dual of [(15795, 2), 31515, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(775, 15795, F7, 3, 17) (dual of [(15795, 3), 47310, 18]-NRT-code) | [i] | ||
| 3 | Digital (58, 75, 15795)-net over F7 | [i] | ||
| 4 | Linear OOA(775, 8413, F7, 2, 17) (dual of [(8413, 2), 16751, 18]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(775, 5608, F7, 3, 17) (dual of [(5608, 3), 16749, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(775, 2103, F7, 17, 17) (dual of [(2103, 17), 35676, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |