Information on Result #1303188

Linear OA(965, 13134, F9, 16) (dual of [13134, 13069, 17]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(964, 13132, F9, 16) (dual of [13132, 13068, 17]-code), using
    • trace code [i] based on linear OA(8132, 6566, F81, 16) (dual of [6566, 6534, 17]-code), using
      • construction X applied to Ce(15) ⊂ Ce(13) [i] based on
        1. linear OA(8131, 6561, F81, 16) (dual of [6561, 6530, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
        2. linear OA(8127, 6561, F81, 14) (dual of [6561, 6534, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
        3. linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
  2. linear OA(964, 13133, F9, 15) (dual of [13133, 13069, 16]-code), using Gilbert–VarÅ¡amov bound and bm = 964 > Vbs−1(k−1) = 227264 239100 447614 177158 934900 648413 269572 351113 717315 807969 [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(965, 13134, F9, 2, 16) (dual of [(13134, 2), 26203, 17]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(965, 13134, F9, 3, 16) (dual of [(13134, 3), 39337, 17]-NRT-code) [i]
3Digital (49, 65, 13134)-net over F9 [i]
4Linear OOA(965, 6567, F9, 2, 16) (dual of [(6567, 2), 13069, 17]-NRT-code) [i]OOA Folding