Information on Result #1011738

Linear OOA(458, 2798311, F4, 3, 6) (dual of [(2798311, 3), 8394875, 7]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(49, 2110, F4, 3, 3) (dual of [(2110, 3), 6321, 4]-NRT-code), using
  2. linear OOA(449, 2796201, F4, 3, 6) (dual of [(2796201, 3), 8388554, 7]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(449, large, F4, 6) (dual of [large, large−49, 7]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [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(458, 2798310, F4, 9, 6) (dual of [(2798310, 9), 25184732, 7]-NRT-code) [i]OOA Stacking with Additional Row