Information on Result #737951
Linear OA(9114, 6581, F9, 31) (dual of [6581, 6467, 32]-code), using construction X applied to Ce(30) ⊂ Ce(25) based on
- linear OA(9109, 6561, F9, 31) (dual of [6561, 6452, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(993, 6561, F9, 26) (dual of [6561, 6468, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(95, 20, F9, 4) (dual of [20, 15, 5]-code), 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(9114, 6581, F9, 2, 31) (dual of [(6581, 2), 13048, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9114, 6581, F9, 3, 31) (dual of [(6581, 3), 19629, 32]-NRT-code) | [i] | ||
| 3 | Digital (83, 114, 6581)-net over F9 | [i] | ||
| 4 | Linear OOA(9114, 3290, F9, 2, 31) (dual of [(3290, 2), 6466, 32]-NRT-code) | [i] | OOA Folding | |