Information on Result #672048
Linear OA(8173, 6744, F81, 27) (dual of [6744, 6671, 28]-code), using (u, u+v)-construction based on
- linear OA(8120, 182, F81, 13) (dual of [182, 162, 14]-code), using
- (u, u+v)-construction [i] based on
- linear OA(816, 82, F81, 6) (dual of [82, 76, 7]-code or 82-arc in PG(5,81)), using
- extended Reed–Solomon code RSe(76,81) [i]
- linear OA(8114, 100, F81, 13) (dual of [100, 86, 14]-code), using
- extended algebraic-geometric code AGe(F,86P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OA(816, 82, F81, 6) (dual of [82, 76, 7]-code or 82-arc in PG(5,81)), using
- (u, u+v)-construction [i] based on
- linear OA(8153, 6562, F81, 27) (dual of [6562, 6509, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(8173, 3372, F81, 2, 27) (dual of [(3372, 2), 6671, 28]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8173, 2248, F81, 3, 27) (dual of [(2248, 3), 6671, 28]-NRT-code) | [i] | ||