Information on Result #689210
Linear OA(983, 531469, F9, 15) (dual of [531469, 531386, 16]-code), using construction X applied to Ce(14) ⊂ Ce(10) based on
- linear OA(979, 531441, F9, 15) (dual of [531441, 531362, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(955, 531441, F9, 11) (dual of [531441, 531386, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(94, 28, F9, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,9)), 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(983, 531469, F9, 2, 15) (dual of [(531469, 2), 1062855, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(983, 531469, F9, 3, 15) (dual of [(531469, 3), 1594324, 16]-NRT-code) | [i] | ||
| 3 | Digital (68, 83, 531469)-net over F9 | [i] | ||
| 4 | Linear OOA(983, 265734, F9, 2, 15) (dual of [(265734, 2), 531385, 16]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(983, 177156, F9, 3, 15) (dual of [(177156, 3), 531385, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(983, 75924, F9, 15, 15) (dual of [(75924, 15), 1138777, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |