Information on Result #1018837

Linear OOA(8180, 2796317, F81, 3, 18) (dual of [(2796317, 3), 8388871, 19]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(8111, 116, F81, 3, 9) (dual of [(116, 3), 337, 10]-NRT-code), using
  2. linear OOA(8169, 2796201, F81, 3, 18) (dual of [(2796201, 3), 8388534, 19]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(8169, large, F81, 18) (dual of [large, large−69, 19]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(8181, 2796317, F81, 3, 18) (dual of [(2796317, 3), 8388870, 19]-NRT-code) [i]OOA Duplication
2Linear OOA(8180, 932105, F81, 21, 18) (dual of [(932105, 21), 19574125, 19]-NRT-code) [i]OOA Folding and Stacking with Additional Row