Information on Result #686850
Linear OA(8100, 32792, F8, 22) (dual of [32792, 32692, 23]-code), using construction X applied to Ce(21) ⊂ Ce(17) based on
- 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(876, 32768, F8, 18) (dual of [32768, 32692, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(8100, 32792, F8, 2, 22) (dual of [(32792, 2), 65484, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8100, 32792, F8, 3, 22) (dual of [(32792, 3), 98276, 23]-NRT-code) | [i] | ||
| 3 | Digital (78, 100, 32792)-net over F8 | [i] | ||
| 4 | Linear OOA(8100, 16396, F8, 2, 22) (dual of [(16396, 2), 32692, 23]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8100, 10930, F8, 3, 22) (dual of [(10930, 3), 32690, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(8100, 2981, F8, 22, 22) (dual of [(2981, 22), 65482, 23]-NRT-code) | [i] | OA Folding and Stacking | |