Information on Result #684662
Linear OA(753, 117671, F7, 10) (dual of [117671, 117618, 11]-code), using construction X applied to Ce(9) ⊂ Ce(5) based on
- linear OA(749, 117649, F7, 10) (dual of [117649, 117600, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(731, 117649, F7, 6) (dual of [117649, 117618, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(753, 117671, F7, 2, 10) (dual of [(117671, 2), 235289, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(753, 117671, F7, 3, 10) (dual of [(117671, 3), 352960, 11]-NRT-code) | [i] | ||
| 3 | Digital (43, 53, 117671)-net over F7 | [i] | ||
| 4 | Linear OOA(753, 58835, F7, 2, 10) (dual of [(58835, 2), 117617, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(753, 39223, F7, 3, 10) (dual of [(39223, 3), 117616, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(753, 23534, F7, 10, 10) (dual of [(23534, 10), 235287, 11]-NRT-code) | [i] | OA Folding and Stacking | |