Information on Result #686293

Linear OA(8123, 2097176, F8, 20) (dual of [2097176, 2097053, 21]-code), using construction X applied to Ce(19) ⊂ Ce(16) based on
  1. linear OA(8120, 2097152, F8, 20) (dual of [2097152, 2097032, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(899, 2097152, F8, 17) (dual of [2097152, 2097053, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(83, 24, F8, 2) (dual of [24, 21, 3]-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(8124, 2097177, F8, 20) (dual of [2097177, 2097053, 21]-code) [i]Code Embedding in Larger Space
2Linear OOA(8123, 1425516, F8, 2, 20) (dual of [(1425516, 2), 2850909, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(8123, 1425516, F8, 3, 20) (dual of [(1425516, 3), 4276425, 21]-NRT-code) [i]
4Digital (103, 123, 1425516)-net over F8 [i]
5Linear OOA(8123, 1048588, F8, 2, 20) (dual of [(1048588, 2), 2097053, 21]-NRT-code) [i]OOA Folding
6Linear OOA(8123, 699058, F8, 3, 20) (dual of [(699058, 3), 2097051, 21]-NRT-code) [i]
7Linear OOA(8123, 209717, F8, 20, 20) (dual of [(209717, 20), 4194217, 21]-NRT-code) [i]OA Folding and Stacking