Information on Result #700083

Linear OA(12842, 16407, F128, 18) (dual of [16407, 16365, 19]-code), using construction X applied to Ce(17) ⊂ Ce(9) based on
  1. linear OA(12835, 16384, F128, 18) (dual of [16384, 16349, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  2. linear OA(12819, 16384, F128, 10) (dual of [16384, 16365, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  3. linear OA(1287, 23, F128, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,128)), 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
1OA(6449, 16407, S64, 18) [i]Discarding Parts of the Base for OAs
2Linear OOA(12842, 13435, F128, 2, 18) (dual of [(13435, 2), 26828, 19]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12842, 13435, F128, 3, 18) (dual of [(13435, 3), 40263, 19]-NRT-code) [i]
4Linear OOA(12842, 13435, F128, 4, 18) (dual of [(13435, 4), 53698, 19]-NRT-code) [i]
5Digital (24, 42, 13435)-net over F128 [i]
6Linear OOA(12842, 8203, F128, 2, 18) (dual of [(8203, 2), 16364, 19]-NRT-code) [i]OOA Folding
7Linear OOA(12842, 5469, F128, 3, 18) (dual of [(5469, 3), 16365, 19]-NRT-code) [i]
8Linear OOA(12842, 1823, F128, 18, 18) (dual of [(1823, 18), 32772, 19]-NRT-code) [i]OA Folding and Stacking