Information on Result #1300754

Linear OA(4203, 4119, F4, 44) (dual of [4119, 3916, 45]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4202, 4117, F4, 44) (dual of [4117, 3915, 45]-code), using
    • construction X applied to Ce(44) ⊂ Ce(40) [i] based on
      1. linear OA(4199, 4096, F4, 45) (dual of [4096, 3897, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
      2. 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]
      3. linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
  2. linear OA(4202, 4118, F4, 43) (dual of [4118, 3916, 44]-code), using Gilbert–VarÅ¡amov bound and bm = 4202 > Vbs−1(k−1) = 4 113135 866996 124397 781562 278802 160575 710610 349112 235812 706975 083286 178528 181374 192659 199943 291994 845625 942093 957422 213632 [i]
  3. linear OA(40, 1, F4, 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.

Other Results with Identical Parameters

None.

Depending Results

None.