Information on Result #735390
Linear OA(8157, 531526, F81, 17) (dual of [531526, 531469, 18]-code), using (u, u+v)-construction based on
- linear OA(818, 82, F81, 8) (dual of [82, 74, 9]-code or 82-arc in PG(7,81)), using
- extended Reed–Solomon code RSe(74,81) [i]
- linear OA(8149, 531444, F81, 17) (dual of [531444, 531395, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(8149, 531441, F81, 17) (dual of [531441, 531392, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(8146, 531441, F81, 16) (dual of [531441, 531395, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
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 | OA(2776, 531526, S27, 17) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(8157, 265763, F81, 2, 17) (dual of [(265763, 2), 531469, 18]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8157, 177175, F81, 3, 17) (dual of [(177175, 3), 531468, 18]-NRT-code) | [i] | ||