Information on Result #686516
Linear OA(853, 262166, F8, 10) (dual of [262166, 262113, 11]-code), using construction X applied to Ce(9) ⊂ Ce(5) based on
- linear OA(849, 262144, F8, 10) (dual of [262144, 262095, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(831, 262144, F8, 6) (dual of [262144, 262113, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(853, 262166, F8, 2, 10) (dual of [(262166, 2), 524279, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(853, 262166, F8, 3, 10) (dual of [(262166, 3), 786445, 11]-NRT-code) | [i] | ||
| 3 | Digital (43, 53, 262166)-net over F8 | [i] | ||
| 4 | Linear OOA(853, 131083, F8, 2, 10) (dual of [(131083, 2), 262113, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(853, 87388, F8, 3, 10) (dual of [(87388, 3), 262111, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(853, 52433, F8, 10, 10) (dual of [(52433, 10), 524277, 11]-NRT-code) | [i] | OA Folding and Stacking | |