Information on Result #686501
Linear OA(8143, 262166, F8, 27) (dual of [262166, 262023, 28]-code), using construction X applied to Ce(26) ⊂ Ce(22) based on
- linear OA(8139, 262144, F8, 27) (dual of [262144, 262005, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(8121, 262144, F8, 23) (dual of [262144, 262023, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(8143, 195905, F8, 2, 27) (dual of [(195905, 2), 391667, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8143, 195905, F8, 3, 27) (dual of [(195905, 3), 587572, 28]-NRT-code) | [i] | ||
| 3 | Digital (116, 143, 195905)-net over F8 | [i] | ||
| 4 | Linear OOA(8143, 131083, F8, 2, 27) (dual of [(131083, 2), 262023, 28]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8143, 87388, F8, 3, 27) (dual of [(87388, 3), 262021, 28]-NRT-code) | [i] | ||