Information on Result #1300618

Linear OA(4186, 4121, F4, 40) (dual of [4121, 3935, 41]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4184, 4117, F4, 40) (dual of [4117, 3933, 41]-code), using
    • construction X applied to Ce(40) ⊂ Ce(36) [i] based on
      1. linear OA(4181, 4096, F4, 41) (dual of [4096, 3915, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
      2. linear OA(4163, 4096, F4, 37) (dual of [4096, 3933, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
      3. linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
  2. linear OA(4184, 4119, F4, 39) (dual of [4119, 3935, 40]-code), using Gilbert–VarÅ¡amov bound and bm = 4184 > Vbs−1(k−1) = 497 911285 017878 691601 897913 067149 351353 011868 401952 141099 142475 726980 675784 601287 112004 395967 909078 440995 853312 [i]
  3. linear OA(40, 2, F4, 0) (dual of [2, 2, 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.

Other Results with Identical Parameters

None.

Depending Results

None.