Information on Result #1317847

Linear OA(3124, 147, F3, 61) (dual of [147, 23, 62]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(3111, 131, F3, 62) (dual of [131, 20, 63]-code), using
  2. linear OA(3111, 134, F3, 52) (dual of [134, 23, 53]-code), using Gilbert–VarÅ¡amov bound and bm = 3111 > Vbs−1(k−1) = 65180 380786 394390 733323 798847 915266 173085 585288 580851 [i]
  3. 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.