Information on Result #1303102

Linear OA(936, 6573, F9, 10) (dual of [6573, 6537, 11]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(935, 6571, F9, 10) (dual of [6571, 6536, 11]-code), using
    • construction X applied to Ce(9) ⊂ Ce(6) [i] based on
      1. linear OA(933, 6561, F9, 10) (dual of [6561, 6528, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
      2. linear OA(925, 6561, F9, 7) (dual of [6561, 6536, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(935, 6572, F9, 9) (dual of [6572, 6537, 10]-code), using Gilbert–VarÅ¡amov bound and bm = 935 > Vbs−1(k−1) = 1440 343176 662748 970740 437426 415897 [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(936, 6573, F9, 2, 10) (dual of [(6573, 2), 13110, 11]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(936, 6573, F9, 3, 10) (dual of [(6573, 3), 19683, 11]-NRT-code) [i]
3Digital (26, 36, 6573)-net over F9 [i]