Information on Result #1014718

Linear OOA(8131, 2796215, F8, 3, 18) (dual of [(2796215, 3), 8388514, 19]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(810, 14, F8, 3, 9) (dual of [(14, 3), 32, 10]-NRT-code), using
  2. linear OOA(8121, 2796201, F8, 3, 18) (dual of [(2796201, 3), 8388482, 19]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(8121, large, F8, 18) (dual of [large, large−121, 19]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, 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(8131, 932071, F8, 21, 18) (dual of [(932071, 21), 19573360, 19]-NRT-code) [i]OOA Folding and Stacking with Additional Row