Information on Result #682187

Linear OA(586, 1953151, F5, 12) (dual of [1953151, 1953065, 13]-code), using construction X applied to Ce(11) ⊂ Ce(7) based on
  1. linear OA(582, 1953125, F5, 12) (dual of [1953125, 1953043, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. 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]
  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(586, 988914, F5, 2, 12) (dual of [(988914, 2), 1977742, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(586, 988914, F5, 3, 12) (dual of [(988914, 3), 2966656, 13]-NRT-code) [i]
3Digital (74, 86, 988914)-net over F5 [i]
4Linear OOA(586, 976575, F5, 2, 12) (dual of [(976575, 2), 1953064, 13]-NRT-code) [i]OOA Folding
5Linear OOA(586, 651050, F5, 3, 12) (dual of [(651050, 3), 1953064, 13]-NRT-code) [i]
6Linear OOA(586, 325525, F5, 12, 12) (dual of [(325525, 12), 3906214, 13]-NRT-code) [i]OA Folding and Stacking