Information on Result #1082893

Linear OOA(12819, 4225, F128, 4, 8) (dual of [(4225, 4), 16881, 9]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(1284, 129, F128, 4, 4) (dual of [(129, 4), 512, 5]-NRT-code), using
  2. linear OOA(12815, 4096, F128, 4, 8) (dual of [(4096, 4), 16369, 9]-NRT-code), using
    • OOA 4-folding [i] based on linear OA(12815, 16384, F128, 8) (dual of [16384, 16369, 9]-code), using
      • an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(12819, 4224, F128, 12, 8) (dual of [(4224, 12), 50669, 9]-NRT-code) [i]OOA Stacking with Additional Row