Information on Result #1083364

Linear OOA(12864, 4312, F128, 4, 24) (dual of [(4312, 4), 17184, 25]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(12817, 216, F128, 4, 12) (dual of [(216, 4), 847, 13]-NRT-code), using
  2. linear OOA(12847, 4096, F128, 4, 24) (dual of [(4096, 4), 16337, 25]-NRT-code), using
    • OOA 4-folding [i] based on linear OA(12847, 16384, F128, 24) (dual of [16384, 16337, 25]-code), using
      • an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(12864, 1437, F128, 28, 24) (dual of [(1437, 28), 40172, 25]-NRT-code) [i]OOA Folding and Stacking with Additional Row