Information on Result #1298583

Linear OA(3132, 177191, F3, 17) (dual of [177191, 177059, 18]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(3128, 177186, F3, 17) (dual of [177186, 177058, 18]-code), using
    • construction X applied to Ce(16) ⊂ Ce(12) [i] based on
      1. linear OA(3122, 177147, F3, 17) (dual of [177147, 177025, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
      2. linear OA(389, 177147, F3, 13) (dual of [177147, 177058, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
      3. linear OA(36, 39, F3, 3) (dual of [39, 33, 4]-code or 39-cap in PG(5,3)), using
  2. linear OA(3128, 177187, F3, 13) (dual of [177187, 177059, 14]-code), using Gilbert–VarÅ¡amov bound and bm = 3128 > Vbs−1(k−1) = 8185 190008 866513 717884 046866 802905 202751 782871 806713 152137 [i]
  3. linear OA(33, 4, F3, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,3) or 4-cap in PG(2,3)), 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.

Other Results with Identical Parameters

None.

Depending Results

None.