Information on Result #1023020

Linear OOA(25663, 2796972, F256, 3, 17) (dual of [(2796972, 3), 8390853, 18]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(25614, 771, F256, 3, 8) (dual of [(771, 3), 2299, 9]-NRT-code), using
  2. linear OOA(25649, 2796201, F256, 3, 17) (dual of [(2796201, 3), 8388554, 18]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [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(25663, 1398486, F256, 6, 17) (dual of [(1398486, 6), 8390853, 18]-NRT-code) [i]OOA Folding