Information on Result #1300273

Linear OA(4145, 262190, F4, 20) (dual of [262190, 262045, 21]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4143, 262187, F4, 20) (dual of [262187, 262044, 21]-code), using
    • construction X applied to Ce(20) ⊂ Ce(14) [i] based on
      1. linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
      2. linear OA(4100, 262144, F4, 15) (dual of [262144, 262044, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
      3. linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
  2. linear OA(4143, 262188, F4, 18) (dual of [262188, 262045, 19]-code), using Gilbert–VarÅ¡amov bound and bm = 4143 > Vbs−1(k−1) = 47 442388 539340 947578 798441 007000 574935 059754 673713 590319 662561 994068 022467 425349 656996 [i]
  3. linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-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.

Other Results with Identical Parameters

None.

Depending Results

None.