Information on Result #699283

Linear OA(8160, 531476, F81, 18) (dual of [531476, 531416, 19]-code), using construction X applied to Ce(17) ⊂ Ce(8) based on
  1. linear OA(8152, 531441, F81, 18) (dual of [531441, 531389, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(818, 35, F81, 8) (dual of [35, 27, 9]-code or 35-arc in PG(7,81)), 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(8160, 531476, F81, 2, 18) (dual of [(531476, 2), 1062892, 19]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8160, 531476, F81, 3, 18) (dual of [(531476, 3), 1594368, 19]-NRT-code) [i]
3Linear OOA(8160, 531476, F81, 4, 18) (dual of [(531476, 4), 2125844, 19]-NRT-code) [i]
4Digital (42, 60, 531476)-net over F81 [i]
5Linear OOA(8160, 265738, F81, 2, 18) (dual of [(265738, 2), 531416, 19]-NRT-code) [i]OOA Folding
6Linear OOA(8160, 177158, F81, 3, 18) (dual of [(177158, 3), 531414, 19]-NRT-code) [i]
7Linear OOA(8160, 132869, F81, 4, 18) (dual of [(132869, 4), 531416, 19]-NRT-code) [i]