Information on Result #669213

Linear OA(4950, 2601, F49, 18) (dual of [2601, 2551, 19]-code), using (u, u+v)-construction based on
  1. linear OA(4915, 200, F49, 9) (dual of [200, 185, 10]-code), using
    • the BCH-code C(I) with length 200 | 492−1, defining interval I = {1,32,63,…,49}, and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OA(4935, 2401, F49, 18) (dual of [2401, 2366, 19]-code), using
    • an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(4950, 867, F49, 3, 18) (dual of [(867, 3), 2551, 19]-NRT-code) [i]OOA Folding