Information on Result #735311
Linear OA(8171, 531526, F81, 21) (dual of [531526, 531455, 22]-code), using (u, u+v)-construction based on
- linear OA(8110, 82, F81, 10) (dual of [82, 72, 11]-code or 82-arc in PG(9,81)), using
- extended Reed–Solomon code RSe(72,81) [i]
- linear OA(8161, 531444, F81, 21) (dual of [531444, 531383, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(8161, 531441, F81, 21) (dual of [531441, 531380, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(8158, 531441, F81, 20) (dual of [531441, 531383, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(20) ⊂ Ce(19) [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(2795, 531526, S27, 21) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(8171, 265763, F81, 2, 21) (dual of [(265763, 2), 531455, 22]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8171, 177175, F81, 3, 21) (dual of [(177175, 3), 531454, 22]-NRT-code) | [i] | ||