Information on Result #1301552

Linear OA(590, 118, F5, 51) (dual of [118, 28, 52]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(587, 114, F5, 51) (dual of [114, 27, 52]-code), using
    • 12 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(587, 115, F5, 48) (dual of [115, 28, 49]-code), using Gilbert–VarÅ¡amov bound and bm = 587 > Vbs−1(k−1) = 6 447259 144854 227897 663404 145283 373677 566402 991636 179936 818265 [i]
  3. linear OA(52, 3, F5, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,5)), 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.