Information on Result #671260

Linear OA(12860, 32769, F128, 21) (dual of [32769, 32709, 22]-code), using (u, u+v)-construction based on
  1. linear OA(12819, 16384, F128, 10) (dual of [16384, 16365, 11]-code), using
    • an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OA(12841, 16385, F128, 21) (dual of [16385, 16344, 22]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [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

None.