Information on Result #1321678

Linear OA(785, 104, F7, 55) (dual of [104, 19, 56]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(782, 100, F7, 55) (dual of [100, 18, 56]-code), using
  2. linear OA(782, 101, F7, 52) (dual of [101, 19, 53]-code), using Gilbert–VarÅ¡amov bound and bm = 782 > Vbs−1(k−1) = 577 032841 718846 144105 737007 570444 782774 585874 726902 254494 768592 198241 [i]
  3. linear OA(72, 3, F7, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,7)), 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(785, 52, F7, 2, 55) (dual of [(52, 2), 19, 56]-NRT-code) [i]OOA Folding