Information on Result #700471

Linear OA(25661, 65568, F256, 26) (dual of [65568, 65507, 27]-code), using construction X applied to Ce(25) ⊂ Ce(14) based on
  1. linear OA(25651, 65536, F256, 26) (dual of [65536, 65485, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(25629, 65536, F256, 15) (dual of [65536, 65507, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  3. linear OA(25610, 32, F256, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,256)), 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(12870, 65568, S128, 26) [i]Discarding Parts of the Base for OAs
2Linear OOA(25661, 40300, F256, 2, 26) (dual of [(40300, 2), 80539, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(25661, 40300, F256, 3, 26) (dual of [(40300, 3), 120839, 27]-NRT-code) [i]
4Linear OOA(25661, 40300, F256, 4, 26) (dual of [(40300, 4), 161139, 27]-NRT-code) [i]
5Linear OOA(25661, 40300, F256, 5, 26) (dual of [(40300, 5), 201439, 27]-NRT-code) [i]
6Linear OOA(25661, 40300, F256, 6, 26) (dual of [(40300, 6), 241739, 27]-NRT-code) [i]
7Digital (35, 61, 40300)-net over F256 [i]
8Linear OOA(25661, 32784, F256, 2, 26) (dual of [(32784, 2), 65507, 27]-NRT-code) [i]OOA Folding
9Linear OOA(25661, 21856, F256, 3, 26) (dual of [(21856, 3), 65507, 27]-NRT-code) [i]
10Linear OOA(25661, 16392, F256, 4, 26) (dual of [(16392, 4), 65507, 27]-NRT-code) [i]
11Linear OOA(25661, 10928, F256, 6, 26) (dual of [(10928, 6), 65507, 27]-NRT-code) [i]