Information on Result #1301612

Linear OA(599, 129, F5, 55) (dual of [129, 30, 56]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(593, 120, F5, 57) (dual of [120, 27, 58]-code), using
    • 6 times truncation [i] based on linear OA(599, 126, F5, 63) (dual of [126, 27, 64]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,31], and minimum distance d ≥ |{−31,−30,…,31}|+1 = 64 (BCH-bound) [i]
  2. linear OA(593, 123, F5, 51) (dual of [123, 30, 52]-code), using Gilbert–VarÅ¡amov bound and bm = 593 > Vbs−1(k−1) = 80990 194218 561566 707953 558678 943254 342112 861521 178995 261829 754681 [i]
  3. linear OA(53, 6, F5, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,5) or 6-cap in PG(2,5)), 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.