Information on Result #1303435

Linear OA(9118, 531482, F9, 21) (dual of [531482, 531364, 22]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(9116, 531478, F9, 21) (dual of [531478, 531362, 22]-code), using
    • construction X applied to Ce(20) ⊂ Ce(14) [i] based on
      1. linear OA(9109, 531441, F9, 21) (dual of [531441, 531332, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
      2. linear OA(979, 531441, F9, 15) (dual of [531441, 531362, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
      3. linear OA(97, 37, F9, 5) (dual of [37, 30, 6]-code), using
  2. linear OA(9116, 531480, F9, 20) (dual of [531480, 531364, 21]-code), using Gilbert–VarÅ¡amov bound and bm = 9116 > Vbs−1(k−1) = 7 206317 853571 147259 324326 736842 662446 122448 018094 642206 782415 107987 926868 684916 623369 761556 302344 119166 330361 [i]
  3. linear OA(90, 2, F9, 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(9118, 531482, F9, 2, 21) (dual of [(531482, 2), 1062846, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9118, 531482, F9, 3, 21) (dual of [(531482, 3), 1594328, 22]-NRT-code) [i]
3Digital (97, 118, 531482)-net over F9 [i]
4Linear OOA(9118, 265741, F9, 2, 21) (dual of [(265741, 2), 531364, 22]-NRT-code) [i]OOA Folding