Information on Result #699251

Linear OA(8175, 531464, F81, 24) (dual of [531464, 531389, 25]-code), using construction X applied to Ce(23) ⊂ Ce(17) based on
  1. linear OA(8170, 531441, F81, 24) (dual of [531441, 531371, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
  2. 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]
  3. linear OA(815, 23, F81, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,81)), 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(8175, 297302, F81, 2, 24) (dual of [(297302, 2), 594529, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8175, 297302, F81, 3, 24) (dual of [(297302, 3), 891831, 25]-NRT-code) [i]
3Linear OOA(8175, 297302, F81, 4, 24) (dual of [(297302, 4), 1189133, 25]-NRT-code) [i]
4Digital (51, 75, 297302)-net over F81 [i]
5Linear OOA(8175, 265732, F81, 2, 24) (dual of [(265732, 2), 531389, 25]-NRT-code) [i]OOA Folding
6Linear OOA(8175, 177154, F81, 3, 24) (dual of [(177154, 3), 531387, 25]-NRT-code) [i]
7Linear OOA(8175, 132866, F81, 4, 24) (dual of [(132866, 4), 531389, 25]-NRT-code) [i]