Information on Result #699795

Linear OA(12867, 2097179, F128, 21) (dual of [2097179, 2097112, 22]-code), using construction X applied to Ce(20) ⊂ Ce(13) 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(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(1286, 27, F128, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,128)), 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(3294, 2097179, S32, 21) [i]Discarding Parts of the Base for OAs
2OA(6479, 2097179, S64, 21) [i]
3Linear OOA(12867, 1303740, F128, 2, 21) (dual of [(1303740, 2), 2607413, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(12867, 1303740, F128, 3, 21) (dual of [(1303740, 3), 3911153, 22]-NRT-code) [i]
5Linear OOA(12867, 1303740, F128, 4, 21) (dual of [(1303740, 4), 5214893, 22]-NRT-code) [i]
6Digital (46, 67, 1303740)-net over F128 [i]
7Linear OOA(12867, 1048589, F128, 2, 21) (dual of [(1048589, 2), 2097111, 22]-NRT-code) [i]OOA Folding
8Linear OOA(12867, 699059, F128, 3, 21) (dual of [(699059, 3), 2097110, 22]-NRT-code) [i]