Information on Result #1298023

Linear OA(372, 89, F3, 38) (dual of [89, 17, 39]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(363, 79, F3, 38) (dual of [79, 16, 39]-code), using
    • 3 times truncation [i] based on linear OA(366, 82, F3, 41) (dual of [82, 16, 42]-code), using
      • contraction [i] based on linear OA(3148, 164, F3, 83) (dual of [164, 16, 84]-code), using the BCH-code C(I) with length 164 | 38−1, defining interval I = {0,1,…,82}, and designed minimum distance d ≥ |I|+1 = 84 [i]
  2. linear OA(363, 80, F3, 29) (dual of [80, 17, 30]-code), using Gilbert–VarÅ¡amov bound and bm = 363 > Vbs−1(k−1) = 690136 040144 642107 782312 358251 [i]
  3. linear OA(38, 9, F3, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,3)), 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.