Information on Result #684573
Linear OA(789, 823575, F7, 14) (dual of [823575, 823486, 15]-code), using construction X applied to Ce(14) ⊂ Ce(9) based on
- linear OA(785, 823543, F7, 15) (dual of [823543, 823458, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(757, 823543, F7, 10) (dual of [823543, 823486, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(74, 32, F7, 3) (dual of [32, 28, 4]-code or 32-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(789, 823575, F7, 2, 14) (dual of [(823575, 2), 1647061, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(789, 823575, F7, 3, 14) (dual of [(823575, 3), 2470636, 15]-NRT-code) | [i] | ||
| 3 | Digital (75, 89, 823575)-net over F7 | [i] | ||
| 4 | Linear OA(790, 823577, F7, 14) (dual of [823577, 823487, 15]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(789, 411787, F7, 2, 14) (dual of [(411787, 2), 823485, 15]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(789, 274525, F7, 3, 14) (dual of [(274525, 3), 823486, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(789, 117653, F7, 14, 14) (dual of [(117653, 14), 1647053, 15]-NRT-code) | [i] | OA Folding and Stacking | |