Information on Result #686274

Linear OA(865, 2097168, F8, 11) (dual of [2097168, 2097103, 12]-code), using construction X4 applied to Ce(10) ⊂ Ce(8) based on
  1. linear OA(864, 2097152, F8, 11) (dual of [2097152, 2097088, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(850, 2097152, F8, 9) (dual of [2097152, 2097102, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  3. linear OA(815, 16, F8, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,8)), using
  4. linear OA(81, 16, F8, 1) (dual of [16, 15, 2]-code), 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
1Linear OA(866, 2097169, F8, 11) (dual of [2097169, 2097103, 12]-code) [i]Code Embedding in Larger Space
2Linear OA(867, 2097170, F8, 11) (dual of [2097170, 2097103, 12]-code) [i]
3Linear OA(872, 2097225, F8, 11) (dual of [2097225, 2097153, 12]-code) [i](u, u+v)-Construction
4Linear OOA(865, 1048584, F8, 2, 11) (dual of [(1048584, 2), 2097103, 12]-NRT-code) [i]OOA Folding
5Linear OOA(865, 699056, F8, 3, 11) (dual of [(699056, 3), 2097103, 12]-NRT-code) [i]