Information on Result #668860

Linear OA(3264, 33793, F32, 17) (dual of [33793, 33729, 18]-code), using (u, u+v)-construction based on
  1. linear OA(3215, 1024, F32, 8) (dual of [1024, 1009, 9]-code), using
    • an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  2. linear OA(3249, 32769, F32, 17) (dual of [32769, 32720, 18]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(3264, 4224, F32, 17, 17) (dual of [(4224, 17), 71744, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row