Information on Result #1300059

Linear OA(4115, 4122, F4, 24) (dual of [4122, 4007, 25]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4112, 4117, F4, 24) (dual of [4117, 4005, 25]-code), using
    • construction X applied to Ce(24) ⊂ Ce(20) [i] based on
      1. linear OA(4109, 4096, F4, 25) (dual of [4096, 3987, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
      2. linear OA(491, 4096, F4, 21) (dual of [4096, 4005, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
      3. linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
  2. linear OA(4112, 4119, F4, 22) (dual of [4119, 4007, 23]-code), using Gilbert–VarÅ¡amov bound and bm = 4112 > Vbs−1(k−1) = 1 578243 744667 795209 843791 242624 299525 135911 839107 161586 147197 870311 [i]
  3. linear OA(41, 3, F4, 1) (dual of [3, 2, 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.