Information on Result #684797
Linear OA(7100, 16826, F7, 23) (dual of [16826, 16726, 24]-code), using construction X applied to Ce(22) ⊂ Ce(18) based on
- linear OA(796, 16807, F7, 23) (dual of [16807, 16711, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(781, 16807, F7, 19) (dual of [16807, 16726, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(7100, 13931, F7, 2, 23) (dual of [(13931, 2), 27762, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7100, 13931, F7, 3, 23) (dual of [(13931, 3), 41693, 24]-NRT-code) | [i] | ||
| 3 | Digital (77, 100, 13931)-net over F7 | [i] | ||
| 4 | Linear OOA(7100, 8413, F7, 2, 23) (dual of [(8413, 2), 16726, 24]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(7100, 5608, F7, 3, 23) (dual of [(5608, 3), 16724, 24]-NRT-code) | [i] | ||