Information on Result #737524

Linear OA(5150, 78169, F5, 25) (dual of [78169, 78019, 26]-code), using construction X applied to Ce(25) ⊂ Ce(18) based on
  1. linear OA(5141, 78125, F5, 26) (dual of [78125, 77984, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(5106, 78125, F5, 19) (dual of [78125, 78019, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(5150, 78169, F5, 2, 25) (dual of [(78169, 2), 156188, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(5150, 78169, F5, 3, 25) (dual of [(78169, 3), 234357, 26]-NRT-code) [i]
3Digital (125, 150, 78169)-net over F5 [i]
4Linear OOA(5150, 39084, F5, 2, 25) (dual of [(39084, 2), 78018, 26]-NRT-code) [i]OOA Folding
5Linear OOA(5150, 26056, F5, 3, 25) (dual of [(26056, 3), 78018, 26]-NRT-code) [i]
6Linear OOA(5150, 6514, F5, 25, 25) (dual of [(6514, 25), 162700, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row