Information on Result #628960
Linear OA(9102, 13122, F9, 26) (dual of [13122, 13020, 27]-code), using trace code based on linear OA(8151, 6561, F81, 26) (dual of [6561, 6510, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
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(9115, 13136, F9, 26) (dual of [13136, 13021, 27]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(9102, 12693, F9, 2, 26) (dual of [(12693, 2), 25284, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9102, 12693, F9, 3, 26) (dual of [(12693, 3), 37977, 27]-NRT-code) | [i] | ||
| 4 | Digital (76, 102, 12693)-net over F9 | [i] | ||
| 5 | Linear OOA(9102, 1009, F9, 26, 26) (dual of [(1009, 26), 26132, 27]-NRT-code) | [i] | OA Folding and Stacking | |