Information on Result #737505

Linear OA(5119, 78155, F5, 21) (dual of [78155, 78036, 22]-code), using construction X applied to Ce(20) ⊂ Ce(15) based on
  1. linear OA(5113, 78125, F5, 21) (dual of [78125, 78012, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(585, 78125, F5, 16) (dual of [78125, 78040, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  3. linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-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(5119, 43451, F5, 2, 21) (dual of [(43451, 2), 86783, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(5119, 43451, F5, 3, 21) (dual of [(43451, 3), 130234, 22]-NRT-code) [i]
3Digital (98, 119, 43451)-net over F5 [i]
4Linear OOA(5119, 39077, F5, 2, 21) (dual of [(39077, 2), 78035, 22]-NRT-code) [i]OOA Folding
5Linear OOA(5119, 26051, F5, 3, 21) (dual of [(26051, 3), 78034, 22]-NRT-code) [i]