Information on Result #700100

Linear OA(12847, 16410, F128, 20) (dual of [16410, 16363, 21]-code), using construction X applied to Ce(19) ⊂ Ce(10) based on
  1. linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(12821, 16384, F128, 11) (dual of [16384, 16363, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  3. linear OA(1288, 26, F128, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,128)), 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(6455, 16410, S64, 20) [i]Discarding Parts of the Base for OAs
2Linear OOA(12847, 14427, F128, 2, 20) (dual of [(14427, 2), 28807, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12847, 14427, F128, 3, 20) (dual of [(14427, 3), 43234, 21]-NRT-code) [i]
4Linear OOA(12847, 14427, F128, 4, 20) (dual of [(14427, 4), 57661, 21]-NRT-code) [i]
5Digital (27, 47, 14427)-net over F128 [i]
6Linear OOA(12847, 8205, F128, 2, 20) (dual of [(8205, 2), 16363, 21]-NRT-code) [i]OOA Folding
7Linear OOA(12847, 5470, F128, 3, 20) (dual of [(5470, 3), 16363, 21]-NRT-code) [i]
8Linear OOA(12847, 4102, F128, 4, 20) (dual of [(4102, 4), 16361, 21]-NRT-code) [i]
9Linear OOA(12847, 1641, F128, 20, 20) (dual of [(1641, 20), 32773, 21]-NRT-code) [i]OA Folding and Stacking