Information on Result #670215
Linear OA(8112, 246, F81, 7) (dual of [246, 234, 8]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(812, 82, F81, 2) (dual of [82, 80, 3]-code or 82-arc in PG(1,81)), using
- extended Reed–Solomon code RSe(80,81) [i]
- Hamming code H(2,81) [i]
- linear OA(813, 82, F81, 3) (dual of [82, 79, 4]-code or 82-arc in PG(2,81) or 82-cap in PG(2,81)), using
- extended Reed–Solomon code RSe(79,81) [i]
- oval in PG(2, 81) [i]
- linear OA(817, 82, F81, 7) (dual of [82, 75, 8]-code or 82-arc in PG(6,81)), using
- extended Reed–Solomon code RSe(75,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
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(8141, 6808, F81, 15) (dual of [6808, 6767, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8155, 531688, F81, 15) (dual of [531688, 531633, 16]-code) | [i] | ||
| 3 | Linear OA(8152, 531687, F81, 14) (dual of [531687, 531635, 15]-code) | [i] | ||
| 4 | Linear OA(8141, 6809, F81, 15) (dual of [6809, 6768, 16]-code) | [i] | ||
| 5 | Linear OA(8155, 531690, F81, 15) (dual of [531690, 531635, 16]-code) | [i] | ||
| 6 | Linear OA(8152, 531690, F81, 14) (dual of [531690, 531638, 15]-code) | [i] | ||
| 7 | Linear OOA(8112, 123, F81, 2, 7) (dual of [(123, 2), 234, 8]-NRT-code) | [i] | OOA Folding | |