Information on Result #671183

Linear OA(12872, 16766, F128, 26) (dual of [16766, 16694, 27]-code), using (u, u+v)-construction based on
  1. linear OA(12821, 382, F128, 13) (dual of [382, 361, 14]-code), using
    • an extension Ce(12) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(12851, 16384, F128, 26) (dual of [16384, 16333, 27]-code), using
    • an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(12872, 1289, F128, 26, 26) (dual of [(1289, 26), 33442, 27]-NRT-code) [i]OA Folding and Stacking