Information on Result #1303209

Linear OA(971, 531464, F9, 13) (dual of [531464, 531393, 14]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(970, 531462, F9, 13) (dual of [531462, 531392, 14]-code), using
    • construction X applied to Ce(12) ⊂ Ce(9) [i] based on
      1. linear OA(967, 531441, F9, 13) (dual of [531441, 531374, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
      2. linear OA(949, 531441, F9, 10) (dual of [531441, 531392, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
      3. linear OA(93, 21, F9, 2) (dual of [21, 18, 3]-code), using
  2. linear OA(970, 531463, F9, 12) (dual of [531463, 531393, 13]-code), using Gilbert–VarÅ¡amov bound and bm = 970 > Vbs−1(k−1) = 205581 822003 982870 126973 841916 675158 646034 660101 208825 881495 567345 [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(971, 531464, F9, 2, 13) (dual of [(531464, 2), 1062857, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(971, 531464, F9, 3, 13) (dual of [(531464, 3), 1594321, 14]-NRT-code) [i]
3Digital (58, 71, 531464)-net over F9 [i]
4Linear OOA(971, 265732, F9, 2, 13) (dual of [(265732, 2), 531393, 14]-NRT-code) [i]OOA Folding