Information on Result #1297857

Linear OA(333, 98, F3, 11) (dual of [98, 65, 12]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(332, 96, F3, 11) (dual of [96, 64, 12]-code), using
    • construction X applied to Ce(10) ⊂ Ce(6) [i] based on
      1. linear OA(327, 81, F3, 11) (dual of [81, 54, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
      2. linear OA(317, 81, F3, 7) (dual of [81, 64, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
      3. linear OA(35, 15, F3, 3) (dual of [15, 10, 4]-code or 15-cap in PG(4,3)), using
  2. linear OA(332, 97, F3, 10) (dual of [97, 65, 11]-code), using Gilbert–VarÅ¡amov bound and bm = 332 > Vbs−1(k−1) = 699 363012 885377 [i]
  3. linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.