Information on Result #1323803
Linear OA(7101, 16847, F7, 22) (dual of [16847, 16746, 23]-code), using construction X applied to Ce(21) ⊂ Ce(14) based on
- linear OA(791, 16807, F7, 22) (dual of [16807, 16716, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(761, 16807, F7, 15) (dual of [16807, 16746, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(710, 40, F7, 6) (dual of [40, 30, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(710, 41, F7, 6) (dual of [41, 31, 7]-code), using
- a “Gra†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(710, 41, F7, 6) (dual of [41, 31, 7]-code), using
Mode: 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(7101, 16847, F7, 2, 22) (dual of [(16847, 2), 33593, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7101, 16847, F7, 3, 22) (dual of [(16847, 3), 50440, 23]-NRT-code) | [i] | ||
| 3 | Digital (79, 101, 16847)-net over F7 | [i] | ||
| 4 | Linear OOA(7101, 8423, F7, 2, 22) (dual of [(8423, 2), 16745, 23]-NRT-code) | [i] | OOA Folding | |