Information on Result #686815
Linear OA(8110, 32787, F8, 25) (dual of [32787, 32677, 26]-code), using construction X applied to Ce(24) ⊂ Ce(20) based on
- linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(891, 32768, F8, 21) (dual of [32768, 32677, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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 OA(8109, 32786, F8, 24) (dual of [32786, 32677, 25]-code) | [i] | Truncation | |
| 2 | Linear OOA(8110, 25644, F8, 2, 25) (dual of [(25644, 2), 51178, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(8110, 25644, F8, 3, 25) (dual of [(25644, 3), 76822, 26]-NRT-code) | [i] | ||
| 4 | Digital (85, 110, 25644)-net over F8 | [i] | ||
| 5 | Linear OOA(8110, 16393, F8, 2, 25) (dual of [(16393, 2), 32676, 26]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(8110, 10929, F8, 3, 25) (dual of [(10929, 3), 32677, 26]-NRT-code) | [i] | ||
| 7 | Linear OOA(8110, 2732, F8, 25, 25) (dual of [(2732, 25), 68190, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |