Information on Result #1303548

Linear OA(9136, 6573, F9, 38) (dual of [6573, 6437, 39]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(9135, 6571, F9, 38) (dual of [6571, 6436, 39]-code), using
    • construction X applied to Ce(37) ⊂ Ce(34) [i] based on
      1. linear OA(9133, 6561, F9, 38) (dual of [6561, 6428, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
      2. linear OA(9125, 6561, F9, 35) (dual of [6561, 6436, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
      3. linear OA(92, 10, F9, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,9)), using
  2. linear OA(9135, 6572, F9, 37) (dual of [6572, 6437, 38]-code), using Gilbert–VarÅ¡amov bound and bm = 9135 > Vbs−1(k−1) = 215 785760 243328 688895 412539 419023 084590 316669 241974 614161 682328 431859 813538 631038 595200 326265 783023 917724 706400 872067 353244 379417 [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(9136, 6573, F9, 2, 38) (dual of [(6573, 2), 13010, 39]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9136, 6573, F9, 3, 38) (dual of [(6573, 3), 19583, 39]-NRT-code) [i]
3Digital (98, 136, 6573)-net over F9 [i]