Information on Result #682397

Linear OA(5145, 78152, F5, 25) (dual of [78152, 78007, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,10]) based on
  1. linear OA(5141, 78126, F5, 25) (dual of [78126, 77985, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  2. linear OA(5113, 78126, F5, 21) (dual of [78126, 78013, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [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(5145, 56031, F5, 2, 25) (dual of [(56031, 2), 111917, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(5145, 56031, F5, 3, 25) (dual of [(56031, 3), 167948, 26]-NRT-code) [i]
3Digital (120, 145, 56031)-net over F5 [i]
4Linear OOA(5145, 39076, F5, 2, 25) (dual of [(39076, 2), 78007, 26]-NRT-code) [i]OOA Folding
5Linear OOA(5145, 26050, F5, 3, 25) (dual of [(26050, 3), 78005, 26]-NRT-code) [i]