Information on Result #680517

Linear OA(4207, 1035, F4, 55) (dual of [1035, 828, 56]-code), using construction X applied to Ce(54) ⊂ Ce(52) based on
  1. linear OA(4206, 1024, F4, 55) (dual of [1024, 818, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
  2. linear OA(4196, 1024, F4, 53) (dual of [1024, 828, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
  3. linear OA(41, 11, F4, 1) (dual of [11, 10, 2]-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 OOA(4207, 517, F4, 2, 55) (dual of [(517, 2), 827, 56]-NRT-code) [i]OOA Folding
2Linear OOA(4207, 345, F4, 3, 55) (dual of [(345, 3), 828, 56]-NRT-code) [i]