Information on Result #1018650

Linear OOA(8132, 2287, F81, 3, 13) (dual of [(2287, 3), 6829, 14]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(817, 100, F81, 3, 6) (dual of [(100, 3), 293, 7]-NRT-code), using
  2. linear OOA(8125, 2187, F81, 3, 13) (dual of [(2187, 3), 6536, 14]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(8125, 6561, F81, 13) (dual of [6561, 6536, 14]-code), using
      • an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(8132, 1143, F81, 15, 13) (dual of [(1143, 15), 17113, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row