Information on Result #699809

Linear OA(12875, 2097187, F128, 23) (dual of [2097187, 2097112, 24]-code), using construction X applied to Ce(22) ⊂ Ce(13) based on
  1. linear OA(12867, 2097152, F128, 23) (dual of [2097152, 2097085, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(12840, 2097152, F128, 14) (dual of [2097152, 2097112, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. linear OA(1288, 35, F128, 8) (dual of [35, 27, 9]-code or 35-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(32105, 2097187, S32, 23) [i]Discarding Parts of the Base for OAs
2OA(6488, 2097187, S64, 23) [i]
3Linear OOA(12875, 1820091, F128, 2, 23) (dual of [(1820091, 2), 3640107, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(12875, 1820091, F128, 3, 23) (dual of [(1820091, 3), 5460198, 24]-NRT-code) [i]
5Linear OOA(12875, 1820091, F128, 4, 23) (dual of [(1820091, 4), 7280289, 24]-NRT-code) [i]
6Digital (52, 75, 1820091)-net over F128 [i]
7Linear OOA(12875, 1048593, F128, 2, 23) (dual of [(1048593, 2), 2097111, 24]-NRT-code) [i]OOA Folding
8Linear OOA(12875, 699062, F128, 3, 23) (dual of [(699062, 3), 2097111, 24]-NRT-code) [i]