Information on Result #689166
Linear OA(9116, 531454, F9, 22) (dual of [531454, 531338, 23]-code), using construction X applied to Ce(21) ⊂ Ce(19) based on
- linear OA(9115, 531441, F9, 22) (dual of [531441, 531326, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(9103, 531441, F9, 20) (dual of [531441, 531338, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(91, 13, F9, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(9116, 318489, F9, 2, 22) (dual of [(318489, 2), 636862, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9116, 318489, F9, 3, 22) (dual of [(318489, 3), 955351, 23]-NRT-code) | [i] | ||
| 3 | Digital (94, 116, 318489)-net over F9 | [i] | ||
| 4 | Linear OOA(9116, 265727, F9, 2, 22) (dual of [(265727, 2), 531338, 23]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9116, 177151, F9, 3, 22) (dual of [(177151, 3), 531337, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(9116, 48314, F9, 22, 22) (dual of [(48314, 22), 1062792, 23]-NRT-code) | [i] | OA Folding and Stacking | |