Information on Result #1082924

Linear OOA(12829, 524417, F128, 4, 9) (dual of [(524417, 4), 2097639, 10]-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(12825, 524288, F128, 4, 9) (dual of [(524288, 4), 2097127, 10]-NRT-code), using
    • OOA 4-folding [i] based on linear OA(12825, 2097152, F128, 9) (dual of [2097152, 2097127, 10]-code), using
      • an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(12829, 524416, F128, 12, 9) (dual of [(524416, 12), 6292963, 10]-NRT-code) [i]OOA Stacking with Additional Row