Information on Result #1301473

Linear OA(572, 15650, F5, 14) (dual of [15650, 15578, 15]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(570, 15646, F5, 14) (dual of [15646, 15576, 15]-code), using
    • construction X applied to Ce(13) ⊂ Ce(10) [i] based on
      1. linear OA(567, 15625, F5, 14) (dual of [15625, 15558, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
      2. linear OA(549, 15625, F5, 11) (dual of [15625, 15576, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
      3. linear OA(53, 21, F5, 2) (dual of [21, 18, 3]-code), using
  2. linear OA(570, 15648, F5, 13) (dual of [15648, 15578, 14]-code), using Gilbert–VarÅ¡amov bound and bm = 570 > Vbs−1(k−1) = 7 512888 191160 599230 915978 384063 196370 119231 779405 [i]
  3. linear OA(50, 2, F5, 0) (dual of [2, 2, 1]-code), using

Mode: 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(572, 15650, F5, 2, 14) (dual of [(15650, 2), 31228, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(572, 15650, F5, 3, 14) (dual of [(15650, 3), 46878, 15]-NRT-code) [i]
3Digital (58, 72, 15650)-net over F5 [i]
4Linear OOA(572, 7825, F5, 2, 14) (dual of [(7825, 2), 15578, 15]-NRT-code) [i]OOA Folding