Information on Result #672086
Linear OA(8140, 6744, F81, 15) (dual of [6744, 6704, 16]-code), using (u, u+v)-construction based on
- linear OA(8111, 182, F81, 7) (dual of [182, 171, 8]-code), using
- (u, u+v)-construction [i] based on
- 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(818, 100, F81, 7) (dual of [100, 92, 8]-code), using
- extended algebraic-geometric code AGe(F,92P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- 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
- (u, u+v)-construction [i] based on
- linear OA(8129, 6562, F81, 15) (dual of [6562, 6533, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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 OOA(8140, 3372, F81, 2, 15) (dual of [(3372, 2), 6704, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8140, 2248, F81, 3, 15) (dual of [(2248, 3), 6704, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(8140, 963, F81, 15, 15) (dual of [(963, 15), 14405, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |