Information on Result #1302321

Linear OA(7105, 114, F7, 77) (dual of [114, 9, 78]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(7100, 108, F7, 77) (dual of [108, 8, 78]-code), using
  2. linear OA(7100, 109, F7, 72) (dual of [109, 9, 73]-code), using Gilbert–VarÅ¡amov bound and bm = 7100 > Vbs−1(k−1) = 2 892109 124693 044383 550215 865067 605920 447064 504615 735710 200307 503820 443474 471042 292001 [i]
  3. linear OA(74, 5, F7, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,7)), 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 OA(7105, 114, F7, 76) (dual of [114, 9, 77]-code) [i]Strength Reduction