Information on Result #699780

Linear OA(12844, 2097171, F128, 14) (dual of [2097171, 2097127, 15]-code), using construction X applied to Ce(13) ⊂ Ce(8) based on
  1. 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]
  2. linear OA(12825, 2097152, F128, 9) (dual of [2097152, 2097127, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  3. linear OA(1284, 19, F128, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,128)), 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(1677, 2097171, S16, 14) [i]Discarding Parts of the Base for OAs
2OA(3262, 2097171, S32, 14) [i]
3OA(6452, 2097171, S64, 14) [i]
4Linear OOA(12844, 1480444, F128, 2, 14) (dual of [(1480444, 2), 2960844, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(12844, 1480444, F128, 3, 14) (dual of [(1480444, 3), 4441288, 15]-NRT-code) [i]
6Linear OOA(12844, 1480444, F128, 4, 14) (dual of [(1480444, 4), 5921732, 15]-NRT-code) [i]
7Digital (30, 44, 1480444)-net over F128 [i]
8Linear OOA(12844, 1048585, F128, 2, 14) (dual of [(1048585, 2), 2097126, 15]-NRT-code) [i]OOA Folding
9Linear OOA(12844, 699057, F128, 3, 14) (dual of [(699057, 3), 2097127, 15]-NRT-code) [i]
10Linear OOA(12844, 524292, F128, 4, 14) (dual of [(524292, 4), 2097124, 15]-NRT-code) [i]