Information on Result #1298315

Linear OA(3110, 133, F3, 53) (dual of [133, 23, 54]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(398, 118, F3, 53) (dual of [118, 20, 54]-code), using
  2. linear OA(398, 121, F3, 45) (dual of [121, 23, 46]-code), using Gilbert–VarÅ¡amov bound and bm = 398 > Vbs−1(k−1) = 32695 213127 525046 476204 727489 383777 045643 674721 [i]
  3. linear OA(39, 12, F3, 7) (dual of [12, 3, 8]-code), using
    • 1 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.