Information on Result #684997
Linear OA(777, 2417, F7, 22) (dual of [2417, 2340, 23]-code), using construction X applied to Ce(21) ⊂ Ce(17) based on
- linear OA(773, 2401, F7, 22) (dual of [2401, 2328, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(761, 2401, F7, 18) (dual of [2401, 2340, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(74, 16, F7, 3) (dual of [16, 12, 4]-code or 16-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(776, 2416, F7, 21) (dual of [2416, 2340, 22]-code) | [i] | Truncation | |
| 2 | Linear OOA(777, 2240, F7, 2, 22) (dual of [(2240, 2), 4403, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(777, 2240, F7, 3, 22) (dual of [(2240, 3), 6643, 23]-NRT-code) | [i] | ||
| 4 | Digital (55, 77, 2240)-net over F7 | [i] | ||
| 5 | Linear OOA(777, 1208, F7, 2, 22) (dual of [(1208, 2), 2339, 23]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(777, 805, F7, 3, 22) (dual of [(805, 3), 2338, 23]-NRT-code) | [i] | ||