Information on Result #1018051

Linear OOA(6488, 2796281, F64, 3, 20) (dual of [(2796281, 3), 8388755, 21]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(6411, 80, F64, 3, 10) (dual of [(80, 3), 229, 11]-NRT-code), using
  2. linear OOA(6477, 2796201, F64, 3, 20) (dual of [(2796201, 3), 8388526, 21]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6477, large, F64, 20) (dual of [large, large−77, 21]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [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(6489, 2796281, F64, 3, 20) (dual of [(2796281, 3), 8388754, 21]-NRT-code) [i]OOA Duplication