Information on Result #682193

Linear OA(559, 1953151, F5, 8) (dual of [1953151, 1953092, 9]-code), using construction X applied to Ce(7) ⊂ Ce(3) based on
  1. linear OA(555, 1953125, F5, 8) (dual of [1953125, 1953070, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  2. linear OA(528, 1953125, F5, 4) (dual of [1953125, 1953097, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
  3. linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), 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 OOA(559, 1953151, F5, 2, 8) (dual of [(1953151, 2), 3906243, 9]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(559, 1953151, F5, 3, 8) (dual of [(1953151, 3), 5859394, 9]-NRT-code) [i]
3Digital (51, 59, 1953151)-net over F5 [i]
4Linear OOA(559, 976575, F5, 2, 8) (dual of [(976575, 2), 1953091, 9]-NRT-code) [i]OOA Folding
5Linear OOA(559, 651050, F5, 3, 8) (dual of [(651050, 3), 1953091, 9]-NRT-code) [i]
6Linear OOA(559, 488287, F5, 8, 8) (dual of [(488287, 8), 3906237, 9]-NRT-code) [i]OA Folding and Stacking