Information on Result #668705

Linear OA(32110, 1049602, F32, 23) (dual of [1049602, 1049492, 24]-code), using (u, u+v)-construction based on
  1. linear OA(3221, 1025, F32, 11) (dual of [1025, 1004, 12]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
  2. linear OA(3289, 1048577, F32, 23) (dual of [1048577, 1048488, 24]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(32110, 95418, F32, 23, 23) (dual of [(95418, 23), 2194504, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row