Information on Result #1011900

Linear OOA(4132, 2796221, F4, 3, 14) (dual of [(2796221, 3), 8388531, 15]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(411, 20, F4, 3, 7) (dual of [(20, 3), 49, 8]-NRT-code), using
  2. linear OOA(4121, 2796201, F4, 3, 14) (dual of [(2796201, 3), 8388482, 15]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(4121, large, F4, 14) (dual of [large, large−121, 15]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [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(4133, 2796221, F4, 3, 14) (dual of [(2796221, 3), 8388530, 15]-NRT-code) [i]OOA Duplication
2Linear OOA(4134, 2796221, F4, 3, 14) (dual of [(2796221, 3), 8388529, 15]-NRT-code) [i]