Information on Result #700125

Linear OA(12874, 16419, F128, 32) (dual of [16419, 16345, 33]-code), using construction X applied to Ce(31) ⊂ Ce(19) based on
  1. linear OA(12863, 16384, F128, 32) (dual of [16384, 16321, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
  2. 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]
  3. linear OA(12811, 35, F128, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,128)), 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(6487, 16419, S64, 32) [i]Discarding Parts of the Base for OAs
2Linear OOA(12874, 12707, F128, 2, 32) (dual of [(12707, 2), 25340, 33]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12874, 12707, F128, 3, 32) (dual of [(12707, 3), 38047, 33]-NRT-code) [i]
4Linear OOA(12874, 12707, F128, 4, 32) (dual of [(12707, 4), 50754, 33]-NRT-code) [i]
5Digital (42, 74, 12707)-net over F128 [i]
6Linear OOA(12874, 8209, F128, 2, 32) (dual of [(8209, 2), 16344, 33]-NRT-code) [i]OOA Folding
7Linear OOA(12874, 5473, F128, 3, 32) (dual of [(5473, 3), 16345, 33]-NRT-code) [i]