Information on Result #686814
Linear OA(8115, 32787, F8, 26) (dual of [32787, 32672, 27]-code), using construction X applied to Ce(25) ⊂ Ce(21) based on
- linear OA(8111, 32768, F8, 26) (dual of [32768, 32657, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(896, 32768, F8, 22) (dual of [32768, 32672, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(8115, 27272, F8, 2, 26) (dual of [(27272, 2), 54429, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8115, 27272, F8, 3, 26) (dual of [(27272, 3), 81701, 27]-NRT-code) | [i] | ||
| 3 | Digital (89, 115, 27272)-net over F8 | [i] | ||
| 4 | Linear OOA(8115, 16393, F8, 2, 26) (dual of [(16393, 2), 32671, 27]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8115, 10929, F8, 3, 26) (dual of [(10929, 3), 32672, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(8115, 2522, F8, 26, 26) (dual of [(2522, 26), 65457, 27]-NRT-code) | [i] | OA Folding and Stacking | |