Information on Result #699792

Linear OA(12876, 2097179, F128, 24) (dual of [2097179, 2097103, 25]-code), using construction X applied to Ce(23) ⊂ Ce(16) based on
  1. linear OA(12870, 2097152, F128, 24) (dual of [2097152, 2097082, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
  2. linear OA(12849, 2097152, F128, 17) (dual of [2097152, 2097103, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(32107, 2097179, S32, 24) [i]Discarding Parts of the Base for OAs
2OA(6489, 2097179, S64, 24) [i]
3Linear OOA(12876, 1088217, F128, 2, 24) (dual of [(1088217, 2), 2176358, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(12876, 1088217, F128, 3, 24) (dual of [(1088217, 3), 3264575, 25]-NRT-code) [i]
5Linear OOA(12876, 1088217, F128, 4, 24) (dual of [(1088217, 4), 4352792, 25]-NRT-code) [i]
6Digital (52, 76, 1088217)-net over F128 [i]
7Linear OOA(12876, 1048589, F128, 2, 24) (dual of [(1048589, 2), 2097102, 25]-NRT-code) [i]OOA Folding
8Linear OOA(12876, 699059, F128, 3, 24) (dual of [(699059, 3), 2097101, 25]-NRT-code) [i]
9Linear OOA(12876, 524294, F128, 4, 24) (dual of [(524294, 4), 2097100, 25]-NRT-code) [i]