Information on Result #1323576

Linear OA(4186, 262209, F4, 26) (dual of [262209, 262023, 27]-code), using construction X applied to Ce(25) ⊂ Ce(17) based on
  1. linear OA(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(4118, 262144, F4, 18) (dual of [262144, 262026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  3. linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-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

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(4186, 131104, F4, 2, 26) (dual of [(131104, 2), 262022, 27]-NRT-code) [i]OOA Folding
2Linear OOA(4186, 87403, F4, 3, 26) (dual of [(87403, 3), 262023, 27]-NRT-code) [i]