Information on Result #699194

Linear OA(8123, 531448, F81, 8) (dual of [531448, 531425, 9]-code), using construction X applied to Ce(7) ⊂ Ce(5) based on
  1. linear OA(8122, 531441, F81, 8) (dual of [531441, 531419, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  2. linear OA(8116, 531441, F81, 6) (dual of [531441, 531425, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
  3. linear OA(811, 7, F81, 1) (dual of [7, 6, 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(946, 1062896, F9, 8) (dual of [1062896, 1062850, 9]-code) [i]Trace Code
2Linear OOA(8123, 372313, F81, 2, 8) (dual of [(372313, 2), 744603, 9]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(8123, 372313, F81, 3, 8) (dual of [(372313, 3), 1116916, 9]-NRT-code) [i]
4Linear OOA(8123, 372313, F81, 4, 8) (dual of [(372313, 4), 1489229, 9]-NRT-code) [i]
5Digital (15, 23, 372313)-net over F81 [i]
6Linear OOA(8123, 265724, F81, 2, 8) (dual of [(265724, 2), 531425, 9]-NRT-code) [i]OOA Folding
7Linear OOA(8123, 177149, F81, 3, 8) (dual of [(177149, 3), 531424, 9]-NRT-code) [i]
8Linear OOA(8123, 132862, F81, 4, 8) (dual of [(132862, 4), 531425, 9]-NRT-code) [i]
9Linear OOA(8123, 132862, F81, 8, 8) (dual of [(132862, 8), 1062873, 9]-NRT-code) [i]OA Folding and Stacking