Information on Result #1011876

Linear OOA(4119, 2796227, F4, 3, 13) (dual of [(2796227, 3), 8388562, 14]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(410, 26, F4, 3, 6) (dual of [(26, 3), 68, 7]-NRT-code), using
  2. linear OOA(4109, 2796201, F4, 3, 13) (dual of [(2796201, 3), 8388494, 14]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(4109, large, F4, 13) (dual of [large, large−109, 14]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [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(4119, 1398113, F4, 15, 13) (dual of [(1398113, 15), 20971576, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row