Information on Result #671248

Linear OA(12878, 2097344, F128, 22) (dual of [2097344, 2097266, 23]-code), using (u, u+v)-construction based on
  1. linear OA(12814, 192, F128, 11) (dual of [192, 178, 12]-code), using
  2. linear OA(12864, 2097152, F128, 22) (dual of [2097152, 2097088, 23]-code), using
    • an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(12878, 190667, F128, 22, 22) (dual of [(190667, 22), 4194596, 23]-NRT-code) [i]OA Folding and Stacking