Information on Result #1317799

Linear OA(3115, 139, F3, 56) (dual of [139, 24, 57]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(3102, 123, F3, 56) (dual of [123, 21, 57]-code), using
  2. linear OA(3102, 126, F3, 47) (dual of [126, 24, 48]-code), using Gilbert–VarÅ¡amov bound and bm = 3102 > Vbs−1(k−1) = 3 757364 227719 347053 344026 572733 581845 876274 030611 [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.