Information on Result #1013364

Linear OOA(5150, 2796207, F5, 3, 18) (dual of [(2796207, 3), 8388471, 19]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(59, 6, F5, 3, 9) (dual of [(6, 3), 9, 10]-NRT-code), using
  2. linear OOA(5141, 2796201, F5, 3, 18) (dual of [(2796201, 3), 8388462, 19]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(5141, large, F5, 18) (dual of [large, large−141, 19]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, 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(5150, 932068, F5, 21, 18) (dual of [(932068, 21), 19573278, 19]-NRT-code) [i]OOA Folding and Stacking with Additional Row