Information on Result #699189
Linear OA(8153, 531448, F81, 18) (dual of [531448, 531395, 19]-code), using construction X applied to Ce(17) ⊂ Ce(15) based on
- linear OA(8152, 531441, F81, 18) (dual of [531441, 531389, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(811, 7, F81, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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 OA(9106, 1062896, F9, 18) (dual of [1062896, 1062790, 19]-code) | [i] | Trace Code | |
| 2 | Linear OA(8164, 531564, F81, 18) (dual of [531564, 531500, 19]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8168, 531776, F81, 18) (dual of [531776, 531708, 19]-code) | [i] | ||
| 4 | Linear OOA(8153, 265724, F81, 2, 18) (dual of [(265724, 2), 531395, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8153, 177149, F81, 3, 18) (dual of [(177149, 3), 531394, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(8153, 132862, F81, 4, 18) (dual of [(132862, 4), 531395, 19]-NRT-code) | [i] | ||