Information on Result #1018845

Linear OOA(8146, 2269, F81, 3, 19) (dual of [(2269, 3), 6761, 20]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(819, 82, F81, 3, 9) (dual of [(82, 3), 237, 10]-NRT-code), using
  2. linear OOA(8137, 2187, F81, 3, 19) (dual of [(2187, 3), 6524, 20]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(8137, 6561, F81, 19) (dual of [6561, 6524, 20]-code), using
      • an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(8146, 756, F81, 21, 19) (dual of [(756, 21), 15830, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row