Information on Result #699215

Linear OA(8136, 531452, F81, 12) (dual of [531452, 531416, 13]-code), using construction X applied to Ce(11) ⊂ Ce(8) 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(8125, 531441, F81, 9) (dual of [531441, 531416, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  3. linear OA(812, 11, F81, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,81)), 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(8136, 270755, F81, 2, 12) (dual of [(270755, 2), 541474, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8136, 270755, F81, 3, 12) (dual of [(270755, 3), 812229, 13]-NRT-code) [i]
3Linear OOA(8136, 270755, F81, 4, 12) (dual of [(270755, 4), 1082984, 13]-NRT-code) [i]
4Digital (24, 36, 270755)-net over F81 [i]
5Linear OOA(8136, 265726, F81, 2, 12) (dual of [(265726, 2), 531416, 13]-NRT-code) [i]OOA Folding
6Linear OOA(8136, 177150, F81, 3, 12) (dual of [(177150, 3), 531414, 13]-NRT-code) [i]
7Linear OOA(8136, 132863, F81, 4, 12) (dual of [(132863, 4), 531416, 13]-NRT-code) [i]
8Linear OOA(8136, 88575, F81, 12, 12) (dual of [(88575, 12), 1062864, 13]-NRT-code) [i]OA Folding and Stacking