Information on Result #1301471

Linear OA(571, 15648, F5, 14) (dual of [15648, 15577, 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, 15647, F5, 13) (dual of [15647, 15577, 14]-code), using Gilbert–VarÅ¡amov bound and bm = 570 > Vbs−1(k−1) = 7 507126 497762 266353 326085 184394 983313 062616 834985 [i]
  3. linear OA(50, 1, F5, 0) (dual of [1, 1, 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(571, 15648, F5, 2, 14) (dual of [(15648, 2), 31225, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(571, 15648, F5, 3, 14) (dual of [(15648, 3), 46873, 15]-NRT-code) [i]
3Digital (57, 71, 15648)-net over F5 [i]
4Linear OOA(571, 7824, F5, 2, 14) (dual of [(7824, 2), 15577, 15]-NRT-code) [i]OOA Folding