Information on Result #699248

Linear OA(8135, 531460, F81, 11) (dual of [531460, 531425, 12]-code), using construction X applied to Ce(10) ⊂ Ce(5) based on
  1. linear OA(8131, 531441, F81, 11) (dual of [531441, 531410, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(8116, 531441, F81, 6) (dual of [531441, 531425, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
  3. linear OA(814, 19, F81, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,81)), 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(8135, 531460, F81, 2, 11) (dual of [(531460, 2), 1062885, 12]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8135, 531460, F81, 3, 11) (dual of [(531460, 3), 1594345, 12]-NRT-code) [i]
3Linear OOA(8135, 531460, F81, 4, 11) (dual of [(531460, 4), 2125805, 12]-NRT-code) [i]
4Digital (24, 35, 531460)-net over F81 [i]
5Linear OOA(8135, 265730, F81, 2, 11) (dual of [(265730, 2), 531425, 12]-NRT-code) [i]OOA Folding
6Linear OOA(8135, 177153, F81, 3, 11) (dual of [(177153, 3), 531424, 12]-NRT-code) [i]
7Linear OOA(8135, 132865, F81, 4, 11) (dual of [(132865, 4), 531425, 12]-NRT-code) [i]