Information on Result #699247

Linear OA(8138, 531460, F81, 12) (dual of [531460, 531422, 13]-code), using construction X applied to Ce(11) ⊂ Ce(6) 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(8119, 531441, F81, 7) (dual of [531441, 531422, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(8138, 531460, F81, 2, 12) (dual of [(531460, 2), 1062882, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8138, 531460, F81, 3, 12) (dual of [(531460, 3), 1594342, 13]-NRT-code) [i]
3Linear OOA(8138, 531460, F81, 4, 12) (dual of [(531460, 4), 2125802, 13]-NRT-code) [i]
4Digital (26, 38, 531460)-net over F81 [i]
5Linear OOA(8138, 265730, F81, 2, 12) (dual of [(265730, 2), 531422, 13]-NRT-code) [i]OOA Folding
6Linear OOA(8138, 177153, F81, 3, 12) (dual of [(177153, 3), 531421, 13]-NRT-code) [i]
7Linear OOA(8138, 132865, F81, 4, 12) (dual of [(132865, 4), 531422, 13]-NRT-code) [i]