Information on Result #1317794

Linear OA(3109, 133, F3, 52) (dual of [133, 24, 53]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(398, 119, F3, 52) (dual of [119, 21, 53]-code), using
  2. linear OA(398, 122, F3, 45) (dual of [122, 24, 46]-code), using Gilbert–VarÅ¡amov bound and bm = 398 > Vbs−1(k−1) = 51126 623331 843060 253188 602457 231269 107784 666403 [i]
  3. linear OA(38, 11, F3, 6) (dual of [11, 3, 7]-code), using
    • 2 times truncation [i] based on linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
      • Simplex code S(3,3) [i]
      • the expurgated narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [i]

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.