Information on Result #686806
Linear OA(8155, 32787, F8, 35) (dual of [32787, 32632, 36]-code), using construction X applied to Ce(34) ⊂ Ce(30) based on
- linear OA(8151, 32768, F8, 35) (dual of [32768, 32617, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(8136, 32768, F8, 31) (dual of [32768, 32632, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(8155, 30789, F8, 2, 35) (dual of [(30789, 2), 61423, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8155, 30789, F8, 3, 35) (dual of [(30789, 3), 92212, 36]-NRT-code) | [i] | ||
| 3 | Digital (120, 155, 30789)-net over F8 | [i] | ||
| 4 | Linear OOA(8155, 16393, F8, 2, 35) (dual of [(16393, 2), 32631, 36]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8155, 10929, F8, 3, 35) (dual of [(10929, 3), 32632, 36]-NRT-code) | [i] | ||