Information on Result #686517
Linear OA(847, 262166, F8, 9) (dual of [262166, 262119, 10]-code), using construction X applied to Ce(8) ⊂ Ce(4) based on
- linear OA(843, 262144, F8, 9) (dual of [262144, 262101, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(825, 262144, F8, 5) (dual of [262144, 262119, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(84, 22, F8, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,8)), 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(847, 262166, F8, 2, 9) (dual of [(262166, 2), 524285, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(847, 262166, F8, 3, 9) (dual of [(262166, 3), 786451, 10]-NRT-code) | [i] | ||
| 3 | Digital (38, 47, 262166)-net over F8 | [i] | ||
| 4 | Linear OOA(847, 131083, F8, 2, 9) (dual of [(131083, 2), 262119, 10]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(847, 87388, F8, 3, 9) (dual of [(87388, 3), 262117, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(847, 65541, F8, 9, 9) (dual of [(65541, 9), 589822, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |