Information on Result #686416
Linear OA(889, 262161, F8, 17) (dual of [262161, 262072, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,6]) based on
- linear OA(885, 262145, F8, 17) (dual of [262145, 262060, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(873, 262145, F8, 13) (dual of [262145, 262072, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-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(889, 182295, F8, 2, 17) (dual of [(182295, 2), 364501, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(889, 182295, F8, 3, 17) (dual of [(182295, 3), 546796, 18]-NRT-code) | [i] | ||
| 3 | Digital (72, 89, 182295)-net over F8 | [i] | ||
| 4 | Linear OOA(889, 32770, F8, 17, 17) (dual of [(32770, 17), 557001, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |