Information on Result #686820
Linear OA(885, 32787, F8, 19) (dual of [32787, 32702, 20]-code), using construction X applied to Ce(18) ⊂ Ce(14) based on
- linear OA(881, 32768, F8, 19) (dual of [32768, 32687, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(866, 32768, F8, 15) (dual of [32768, 32702, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(84, 19, F8, 3) (dual of [19, 15, 4]-code or 19-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(885, 29719, F8, 2, 19) (dual of [(29719, 2), 59353, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(885, 29719, F8, 3, 19) (dual of [(29719, 3), 89072, 20]-NRT-code) | [i] | ||
| 3 | Digital (66, 85, 29719)-net over F8 | [i] | ||
| 4 | Linear OOA(885, 16393, F8, 2, 19) (dual of [(16393, 2), 32701, 20]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(885, 10929, F8, 3, 19) (dual of [(10929, 3), 32702, 20]-NRT-code) | [i] | ||