Information on Result #1303138

Linear OA(949, 13134, F9, 12) (dual of [13134, 13085, 13]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(948, 13132, F9, 12) (dual of [13132, 13084, 13]-code), using
    • trace code [i] based on linear OA(8124, 6566, F81, 12) (dual of [6566, 6542, 13]-code), using
      • construction X applied to Ce(11) ⊂ Ce(9) [i] based on
        1. linear OA(8123, 6561, F81, 12) (dual of [6561, 6538, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
        2. linear OA(8119, 6561, F81, 10) (dual of [6561, 6542, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
        3. linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
  2. linear OA(948, 13133, F9, 11) (dual of [13133, 13085, 12]-code), using Gilbert–VarÅ¡amov bound and bm = 948 > Vbs−1(k−1) = 44 977816 878330 409637 265711 238376 073427 167969 [i]
  3. linear OA(90, 1, F9, 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(949, 13134, F9, 2, 12) (dual of [(13134, 2), 26219, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(949, 13134, F9, 3, 12) (dual of [(13134, 3), 39353, 13]-NRT-code) [i]
3Digital (37, 49, 13134)-net over F9 [i]
4Linear OOA(949, 6567, F9, 2, 12) (dual of [(6567, 2), 13085, 13]-NRT-code) [i]OOA Folding