Information on Result #682706

Linear OA(5149, 15651, F5, 30) (dual of [15651, 15502, 31]-code), using construction X applied to Ce(30) ⊂ Ce(25) based on
  1. linear OA(5145, 15625, F5, 31) (dual of [15625, 15480, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), 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(5149, 13960, F5, 2, 30) (dual of [(13960, 2), 27771, 31]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(5149, 13960, F5, 3, 30) (dual of [(13960, 3), 41731, 31]-NRT-code) [i]
3Digital (119, 149, 13960)-net over F5 [i]
4Linear OOA(5149, 7825, F5, 2, 30) (dual of [(7825, 2), 15501, 31]-NRT-code) [i]OOA Folding
5Linear OOA(5149, 5217, F5, 3, 30) (dual of [(5217, 3), 15502, 31]-NRT-code) [i]