Information on Result #1012160

Linear OOA(4249, 2797229, F4, 3, 23) (dual of [(2797229, 3), 8391438, 24]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(444, 1028, F4, 3, 11) (dual of [(1028, 3), 3040, 12]-NRT-code), using
  2. linear OOA(4205, 2796201, F4, 3, 23) (dual of [(2796201, 3), 8388398, 24]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(4205, large, F4, 23) (dual of [large, large−205, 24]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(4252, 2797230, F4, 3, 23) (dual of [(2797230, 3), 8391438, 24]-NRT-code) [i]NRT-Code Embedding in Larger Space
2Linear OOA(4250, 2797229, F4, 3, 23) (dual of [(2797229, 3), 8391437, 24]-NRT-code) [i]OOA Duplication
3Linear OOA(4251, 2797229, F4, 3, 23) (dual of [(2797229, 3), 8391436, 24]-NRT-code) [i]