Information on Result #737525

Linear OA(5143, 78169, F5, 24) (dual of [78169, 78026, 25]-code), using construction X applied to Ce(23) ⊂ Ce(17) based on
  1. linear OA(5134, 78125, F5, 24) (dual of [78125, 77991, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
  2. linear OA(599, 78125, F5, 18) (dual of [78125, 78026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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 OA(5145, 78171, F5, 24) (dual of [78171, 78026, 25]-code) [i]Code Embedding in Larger Space
2Linear OOA(5143, 73491, F5, 2, 24) (dual of [(73491, 2), 146839, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(5143, 73491, F5, 3, 24) (dual of [(73491, 3), 220330, 25]-NRT-code) [i]
4Digital (119, 143, 73491)-net over F5 [i]
5Linear OA(5144, 78171, F5, 24) (dual of [78171, 78027, 25]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OA(5145, 78173, F5, 24) (dual of [78173, 78028, 25]-code) [i]
7Linear OOA(5143, 39084, F5, 2, 24) (dual of [(39084, 2), 78025, 25]-NRT-code) [i]OOA Folding
8Linear OOA(5143, 26056, F5, 3, 24) (dual of [(26056, 3), 78025, 25]-NRT-code) [i]
9Linear OOA(5143, 6514, F5, 24, 24) (dual of [(6514, 24), 156193, 25]-NRT-code) [i]OA Folding and Stacking