Information on Result #735333
Linear OA(8170, 531560, F81, 20) (dual of [531560, 531490, 21]-code), using (u, u+v)-construction based on
- linear OA(8112, 116, F81, 10) (dual of [116, 104, 11]-code), using
- extended algebraic-geometric code AGe(F,105P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OA(8158, 531444, F81, 20) (dual of [531444, 531386, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- 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(8155, 531441, F81, 19) (dual of [531441, 531386, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(19) ⊂ Ce(18) [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(2794, 531560, S27, 20) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(8170, 265780, F81, 2, 20) (dual of [(265780, 2), 531490, 21]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8170, 177186, F81, 3, 20) (dual of [(177186, 3), 531488, 21]-NRT-code) | [i] | ||