Information on Result #686843
Linear OA(8135, 32792, F8, 30) (dual of [32792, 32657, 31]-code), using construction X applied to Ce(29) ⊂ Ce(25) based on
- linear OA(8131, 32768, F8, 30) (dual of [32768, 32637, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- 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(84, 24, F8, 3) (dual of [24, 20, 4]-code or 24-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(8135, 32792, F8, 2, 30) (dual of [(32792, 2), 65449, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8135, 32792, F8, 3, 30) (dual of [(32792, 3), 98241, 31]-NRT-code) | [i] | ||
| 3 | Digital (105, 135, 32792)-net over F8 | [i] | ||
| 4 | Linear OOA(8135, 16396, F8, 2, 30) (dual of [(16396, 2), 32657, 31]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8135, 10930, F8, 3, 30) (dual of [(10930, 3), 32655, 31]-NRT-code) | [i] | ||
| 6 | Linear OOA(8135, 2186, F8, 30, 30) (dual of [(2186, 30), 65445, 31]-NRT-code) | [i] | OA Folding and Stacking | |