Information on Result #737250

Linear OA(4115, 16420, F4, 21) (dual of [16420, 16305, 22]-code), using construction X applied to Ce(20) ⊂ Ce(14) 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

Mode: Constructive and 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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(4118, 16425, F4, 21) (dual of [16425, 16307, 22]-code) [i]Construction X with VarÅ¡amov Bound
2Linear OOA(4115, 8210, F4, 2, 21) (dual of [(8210, 2), 16305, 22]-NRT-code) [i]OOA Folding
3Linear OOA(4115, 5473, F4, 3, 21) (dual of [(5473, 3), 16304, 22]-NRT-code) [i]