Information on Result #686833
Linear OA(840, 32787, F8, 9) (dual of [32787, 32747, 10]-code), using construction X applied to Ce(8) ⊂ Ce(4) based on
- linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(821, 32768, F8, 5) (dual of [32768, 32747, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(839, 32786, F8, 8) (dual of [32786, 32747, 9]-code) | [i] | Truncation | |
| 2 | Linear OOA(840, 32787, F8, 2, 9) (dual of [(32787, 2), 65534, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(840, 32787, F8, 3, 9) (dual of [(32787, 3), 98321, 10]-NRT-code) | [i] | ||
| 4 | Digital (31, 40, 32787)-net over F8 | [i] | ||
| 5 | Linear OOA(840, 16393, F8, 2, 9) (dual of [(16393, 2), 32746, 10]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(840, 10929, F8, 3, 9) (dual of [(10929, 3), 32747, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(840, 8196, F8, 9, 9) (dual of [(8196, 9), 73724, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |