Information on Result #668819

Linear OA(3290, 1049602, F32, 19) (dual of [1049602, 1049512, 20]-code), using (u, u+v)-construction based on
  1. linear OA(3217, 1025, F32, 9) (dual of [1025, 1008, 10]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
  2. linear OA(3273, 1048577, F32, 19) (dual of [1048577, 1048504, 20]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(3290, 116622, F32, 19, 19) (dual of [(116622, 19), 2215728, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row