Information on Result #1300086

Linear OA(4118, 16425, F4, 21) (dual of [16425, 16307, 22]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4115, 16420, F4, 21) (dual of [16420, 16305, 22]-code), using
    • construction X applied to Ce(20) ⊂ Ce(14) [i] based on
      1. linear OA(4106, 16384, F4, 21) (dual of [16384, 16278, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
      2. linear OA(478, 16384, F4, 15) (dual of [16384, 16306, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
      3. linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-code), using
  2. linear OA(4115, 16422, F4, 19) (dual of [16422, 16307, 20]-code), using Gilbert–VarÅ¡amov bound and bm = 4115 > Vbs−1(k−1) = 452 007200 481973 100941 850632 467912 882934 296972 298473 757575 890070 126940 [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.