Information on Result #699274

Linear OA(8159, 531472, F81, 18) (dual of [531472, 531413, 19]-code), using construction X applied to Ce(17) ⊂ Ce(9) based on
  1. 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]
  2. linear OA(8128, 531441, F81, 10) (dual of [531441, 531413, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  3. linear OA(817, 31, F81, 7) (dual of [31, 24, 8]-code or 31-arc in PG(6,81)), 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:

ResultThis
result
only		Method
1Linear OOA(8159, 531472, F81, 2, 18) (dual of [(531472, 2), 1062885, 19]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8159, 531472, F81, 3, 18) (dual of [(531472, 3), 1594357, 19]-NRT-code) [i]
3Linear OOA(8159, 531472, F81, 4, 18) (dual of [(531472, 4), 2125829, 19]-NRT-code) [i]
4Digital (41, 59, 531472)-net over F81 [i]
5Linear OOA(8159, 265736, F81, 2, 18) (dual of [(265736, 2), 531413, 19]-NRT-code) [i]OOA Folding
6Linear OOA(8159, 177157, F81, 3, 18) (dual of [(177157, 3), 531412, 19]-NRT-code) [i]
7Linear OOA(8159, 132868, F81, 4, 18) (dual of [(132868, 4), 531413, 19]-NRT-code) [i]