Information on Result #684656
Linear OA(789, 117671, F7, 17) (dual of [117671, 117582, 18]-code), using construction X applied to Ce(16) ⊂ Ce(12) based on
- linear OA(785, 117649, F7, 17) (dual of [117649, 117564, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(767, 117649, F7, 13) (dual of [117649, 117582, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(789, 97159, F7, 2, 17) (dual of [(97159, 2), 194229, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(789, 97159, F7, 3, 17) (dual of [(97159, 3), 291388, 18]-NRT-code) | [i] | ||
| 3 | Digital (72, 89, 97159)-net over F7 | [i] | ||
| 4 | Linear OOA(789, 58835, F7, 2, 17) (dual of [(58835, 2), 117581, 18]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(789, 39223, F7, 3, 17) (dual of [(39223, 3), 117580, 18]-NRT-code) | [i] | ||