Information on Result #1011736

Linear OOA(456, 2796489, F4, 3, 6) (dual of [(2796489, 3), 8389411, 7]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(47, 288, F4, 3, 3) (dual of [(288, 3), 857, 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(456, 2796488, F4, 9, 6) (dual of [(2796488, 9), 25168336, 7]-NRT-code) [i]OOA Stacking with Additional Row