Information on Result #684664
Linear OA(741, 117671, F7, 8) (dual of [117671, 117630, 9]-code), using construction X applied to Ce(7) ⊂ Ce(3) based on
- linear OA(737, 117649, F7, 8) (dual of [117649, 117612, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(719, 117649, F7, 4) (dual of [117649, 117630, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(74, 22, F7, 3) (dual of [22, 18, 4]-code or 22-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(741, 117671, F7, 2, 8) (dual of [(117671, 2), 235301, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(741, 117671, F7, 3, 8) (dual of [(117671, 3), 352972, 9]-NRT-code) | [i] | ||
| 3 | Digital (33, 41, 117671)-net over F7 | [i] | ||
| 4 | Linear OOA(741, 58835, F7, 2, 8) (dual of [(58835, 2), 117629, 9]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(741, 39223, F7, 3, 8) (dual of [(39223, 3), 117628, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(741, 29417, F7, 8, 8) (dual of [(29417, 8), 235295, 9]-NRT-code) | [i] | OA Folding and Stacking | |