Information on Result #1016093

Linear OOA(9100, 5592447, F9, 3, 12) (dual of [(5592447, 3), 16777241, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(910, 45, F9, 3, 6) (dual of [(45, 3), 125, 7]-NRT-code), using
  2. linear OOA(990, 5592402, F9, 3, 12) (dual of [(5592402, 3), 16777116, 13]-NRT-code), using
    • trace code [i] based on linear OOA(8145, 2796201, F81, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
      • OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
        • the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [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(9100, 2796223, F9, 15, 12) (dual of [(2796223, 15), 41943245, 13]-NRT-code) [i]OOA Folding and Stacking with Additional Row