Information on Result #699811

Linear OA(12869, 2097187, F128, 21) (dual of [2097187, 2097118, 22]-code), using construction X applied to Ce(20) ⊂ Ce(11) based on
  1. linear OA(12861, 2097152, F128, 21) (dual of [2097152, 2097091, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(12834, 2097152, F128, 12) (dual of [2097152, 2097118, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(3297, 2097187, S32, 21) [i]Discarding Parts of the Base for OAs
2Linear OOA(12869, 2097187, F128, 2, 21) (dual of [(2097187, 2), 4194305, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12869, 2097187, F128, 3, 21) (dual of [(2097187, 3), 6291492, 22]-NRT-code) [i]
4Linear OOA(12869, 2097187, F128, 4, 21) (dual of [(2097187, 4), 8388679, 22]-NRT-code) [i]
5Digital (48, 69, 2097187)-net over F128 [i]
6Linear OOA(12869, 1048593, F128, 2, 21) (dual of [(1048593, 2), 2097117, 22]-NRT-code) [i]OOA Folding
7Linear OOA(12869, 699062, F128, 3, 21) (dual of [(699062, 3), 2097117, 22]-NRT-code) [i]