Information on Result #686831
Linear OA(850, 32787, F8, 11) (dual of [32787, 32737, 12]-code), using construction X applied to Ce(10) ⊂ Ce(6) based on
- linear OA(846, 32768, F8, 11) (dual of [32768, 32722, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(831, 32768, F8, 7) (dual of [32768, 32737, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(850, 32787, F8, 2, 11) (dual of [(32787, 2), 65524, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(850, 32787, F8, 3, 11) (dual of [(32787, 3), 98311, 12]-NRT-code) | [i] | ||
| 3 | Digital (39, 50, 32787)-net over F8 | [i] | ||
| 4 | Linear OOA(850, 16393, F8, 2, 11) (dual of [(16393, 2), 32736, 12]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(850, 10929, F8, 3, 11) (dual of [(10929, 3), 32737, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(850, 6557, F8, 11, 11) (dual of [(6557, 11), 72077, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |