Information on Result #689173
Linear OA(986, 531454, F9, 16) (dual of [531454, 531368, 17]-code), using construction X applied to Ce(15) ⊂ Ce(13) based on
- linear OA(985, 531441, F9, 16) (dual of [531441, 531356, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(973, 531441, F9, 14) (dual of [531441, 531368, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(986, 469868, F9, 2, 16) (dual of [(469868, 2), 939650, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(986, 469868, F9, 3, 16) (dual of [(469868, 3), 1409518, 17]-NRT-code) | [i] | ||
| 3 | Digital (70, 86, 469868)-net over F9 | [i] | ||
| 4 | Linear OOA(986, 265727, F9, 2, 16) (dual of [(265727, 2), 531368, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(986, 177151, F9, 3, 16) (dual of [(177151, 3), 531367, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(986, 66431, F9, 16, 16) (dual of [(66431, 16), 1062810, 17]-NRT-code) | [i] | OA Folding and Stacking | |