Information on Result #684475
Linear OA(7101, 5764829, F7, 15) (dual of [5764829, 5764728, 16]-code), using construction X applied to Ce(14) ⊂ Ce(10) based on
- linear OA(797, 5764801, F7, 15) (dual of [5764801, 5764704, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(773, 5764801, F7, 11) (dual of [5764801, 5764728, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(74, 28, F7, 3) (dual of [28, 24, 4]-code or 28-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(7100, 5764828, F7, 14) (dual of [5764828, 5764728, 15]-code) | [i] | Truncation | |
| 2 | Linear OOA(7101, 2882414, F7, 2, 15) (dual of [(2882414, 2), 5764727, 16]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(7101, 1921609, F7, 3, 15) (dual of [(1921609, 3), 5764726, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(7101, 823546, F7, 15, 15) (dual of [(823546, 15), 12353089, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |