Information on Result #1017732

Linear OOA(6454, 2796331, F64, 3, 12) (dual of [(2796331, 3), 8388939, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(649, 130, F64, 3, 6) (dual of [(130, 3), 381, 7]-NRT-code), using
  2. linear OOA(6445, 2796201, F64, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, 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(6478, 5592597, F64, 3, 12) (dual of [(5592597, 3), 16777713, 13]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(6479, 5592662, F64, 3, 12) (dual of [(5592662, 3), 16777907, 13]-NRT-code) [i]
3Linear OOA(6454, 1398165, F64, 15, 12) (dual of [(1398165, 15), 20972421, 13]-NRT-code) [i]OOA Folding and Stacking with Additional Row