Information on Result #1301580

Linear OA(596, 126, F5, 53) (dual of [126, 30, 54]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(590, 117, F5, 54) (dual of [117, 27, 55]-code), using
    • 9 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(590, 120, F5, 49) (dual of [120, 30, 50]-code), using Gilbert–VarÅ¡amov bound and bm = 590 > Vbs−1(k−1) = 501 324723 821709 717743 204052 211337 799799 117493 692792 815717 843565 [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.