Information on Result #700008

Linear OA(12822, 16395, F128, 10) (dual of [16395, 16373, 11]-code), using construction X applied to Ce(9) ⊂ Ce(5) based on
  1. 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]
  2. linear OA(12811, 16384, F128, 6) (dual of [16384, 16373, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
  3. linear OA(1283, 11, F128, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,128) or 11-cap in PG(2,128)), 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(6426, 16395, S64, 10) [i]Discarding Parts of the Base for OAs
2Linear OOA(12822, 10074, F128, 2, 10) (dual of [(10074, 2), 20126, 11]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12822, 10074, F128, 3, 10) (dual of [(10074, 3), 30200, 11]-NRT-code) [i]
4Linear OOA(12822, 10074, F128, 4, 10) (dual of [(10074, 4), 40274, 11]-NRT-code) [i]
5Digital (12, 22, 10074)-net over F128 [i]
6Linear OOA(12822, 8197, F128, 2, 10) (dual of [(8197, 2), 16372, 11]-NRT-code) [i]OOA Folding
7Linear OOA(12822, 5465, F128, 3, 10) (dual of [(5465, 3), 16373, 11]-NRT-code) [i]
8Linear OOA(12822, 3279, F128, 10, 10) (dual of [(3279, 10), 32768, 11]-NRT-code) [i]OA Folding and Stacking