Information on Result #2248591
Linear OA(764, 16825, F7, 14) (dual of [16825, 16761, 15]-code), using 1 times truncation based on linear OA(765, 16826, F7, 15) (dual of [16826, 16761, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- linear OA(761, 16807, F7, 15) (dual of [16807, 16746, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(746, 16807, F7, 11) (dual of [16807, 16761, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(764, 16825, F7, 2, 14) (dual of [(16825, 2), 33586, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(764, 16825, F7, 3, 14) (dual of [(16825, 3), 50411, 15]-NRT-code) | [i] | ||
| 3 | Digital (50, 64, 16825)-net over F7 | [i] | ||
| 4 | Linear OOA(764, 8412, F7, 2, 14) (dual of [(8412, 2), 16760, 15]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(764, 5608, F7, 3, 14) (dual of [(5608, 3), 16760, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(764, 2403, F7, 14, 14) (dual of [(2403, 14), 33578, 15]-NRT-code) | [i] | OA Folding and Stacking | |