Information on Result #699243

Linear OA(8150, 531460, F81, 16) (dual of [531460, 531410, 17]-code), using construction X applied to Ce(15) ⊂ Ce(10) based on
  1. linear OA(8146, 531441, F81, 16) (dual of [531441, 531395, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. 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]
  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(8150, 361458, F81, 2, 16) (dual of [(361458, 2), 722866, 17]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8150, 361458, F81, 3, 16) (dual of [(361458, 3), 1084324, 17]-NRT-code) [i]
3Linear OOA(8150, 361458, F81, 4, 16) (dual of [(361458, 4), 1445782, 17]-NRT-code) [i]
4Digital (34, 50, 361458)-net over F81 [i]
5Linear OOA(8150, 265730, F81, 2, 16) (dual of [(265730, 2), 531410, 17]-NRT-code) [i]OOA Folding
6Linear OOA(8150, 177153, F81, 3, 16) (dual of [(177153, 3), 531409, 17]-NRT-code) [i]
7Linear OOA(8150, 132865, F81, 4, 16) (dual of [(132865, 4), 531410, 17]-NRT-code) [i]