Information on Result #699257

Linear OA(8139, 531464, F81, 12) (dual of [531464, 531425, 13]-code), using construction X applied to Ce(11) ⊂ Ce(5) based on
  1. linear OA(8134, 531441, F81, 12) (dual of [531441, 531407, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(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(8139, 531464, F81, 2, 12) (dual of [(531464, 2), 1062889, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8139, 531464, F81, 3, 12) (dual of [(531464, 3), 1594353, 13]-NRT-code) [i]
3Linear OOA(8139, 531464, F81, 4, 12) (dual of [(531464, 4), 2125817, 13]-NRT-code) [i]
4Digital (27, 39, 531464)-net over F81 [i]
5Linear OOA(8139, 265732, F81, 2, 12) (dual of [(265732, 2), 531425, 13]-NRT-code) [i]OOA Folding
6Linear OOA(8139, 177154, F81, 3, 12) (dual of [(177154, 3), 531423, 13]-NRT-code) [i]
7Linear OOA(8139, 132866, F81, 4, 12) (dual of [(132866, 4), 531425, 13]-NRT-code) [i]
8Linear OOA(8139, 88577, F81, 12, 12) (dual of [(88577, 12), 1062885, 13]-NRT-code) [i]OA Folding and Stacking