Information on Result #1018459

Linear OOA(8119, 2269, F81, 3, 8) (dual of [(2269, 3), 6788, 9]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(814, 82, F81, 3, 4) (dual of [(82, 3), 242, 5]-NRT-code), using
  2. linear OOA(8115, 2187, F81, 3, 8) (dual of [(2187, 3), 6546, 9]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(8115, 6561, F81, 8) (dual of [6561, 6546, 9]-code), using
      • an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(8180, 2798470, F81, 3, 16) (dual of [(2798470, 3), 8395330, 17]-NRT-code) [i](u, u+v)-Construction for OOAs