Information on Result #737536

Linear OA(580, 78169, F5, 13) (dual of [78169, 78089, 14]-code), using construction X applied to Ce(12) ⊂ Ce(6) based on
  1. linear OA(571, 78125, F5, 13) (dual of [78125, 78054, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(536, 78125, F5, 7) (dual of [78125, 78089, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  3. linear OA(59, 44, F5, 5) (dual of [44, 35, 6]-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 OOA(580, 78169, F5, 2, 13) (dual of [(78169, 2), 156258, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(580, 78169, F5, 3, 13) (dual of [(78169, 3), 234427, 14]-NRT-code) [i]
3Digital (67, 80, 78169)-net over F5 [i]
4Linear OOA(580, 39084, F5, 2, 13) (dual of [(39084, 2), 78088, 14]-NRT-code) [i]OOA Folding
5Linear OOA(580, 26056, F5, 3, 13) (dual of [(26056, 3), 78088, 14]-NRT-code) [i]