Information on Result #668808

Linear OA(3270, 32863, F32, 19) (dual of [32863, 32793, 20]-code), using (u, u+v)-construction based on
  1. linear OA(3215, 94, F32, 9) (dual of [94, 79, 10]-code), using
    • an extension Ce(8) of the narrow-sense BCH-code C(I) with length 93 | 322−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  2. linear OA(3255, 32769, F32, 19) (dual of [32769, 32714, 20]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, 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(3270, 3651, F32, 19, 19) (dual of [(3651, 19), 69299, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row