Information on Result #737534

Linear OA(594, 78169, F5, 15) (dual of [78169, 78075, 16]-code), using construction X applied to Ce(15) ⊂ Ce(8) based on
  1. 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]
  2. linear OA(550, 78125, F5, 9) (dual of [78125, 78075, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(594, 78169, F5, 2, 15) (dual of [(78169, 2), 156244, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(594, 78169, F5, 3, 15) (dual of [(78169, 3), 234413, 16]-NRT-code) [i]
3Digital (79, 94, 78169)-net over F5 [i]
4Linear OOA(594, 39084, F5, 2, 15) (dual of [(39084, 2), 78074, 16]-NRT-code) [i]OOA Folding
5Linear OOA(594, 26056, F5, 3, 15) (dual of [(26056, 3), 78074, 16]-NRT-code) [i]
6Linear OOA(594, 11166, F5, 15, 15) (dual of [(11166, 15), 167396, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row