Information on Result #1018429

Linear OOA(8124, 2796283, F81, 3, 6) (dual of [(2796283, 3), 8388825, 7]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(813, 82, F81, 3, 3) (dual of [(82, 3), 243, 4]-NRT-code), using
  2. linear OOA(8121, 2796201, F81, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(8121, large, F81, 6) (dual of [large, large−21, 7]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [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, 5592566, F81, 3, 6) (dual of [(5592566, 3), 16777667, 7]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(8175, 5592566, F81, 3, 12) (dual of [(5592566, 3), 16777623, 13]-NRT-code) [i]
3Linear OOA(8176, 5592584, F81, 3, 12) (dual of [(5592584, 3), 16777676, 13]-NRT-code) [i]
4Linear OOA(8178, 5592648, F81, 3, 12) (dual of [(5592648, 3), 16777866, 13]-NRT-code) [i]
5Linear OOA(8180, 5594671, F81, 3, 12) (dual of [(5594671, 3), 16783933, 13]-NRT-code) [i]
6Linear OOA(8179, 5592566, F81, 3, 13) (dual of [(5592566, 3), 16777619, 14]-NRT-code) [i]
7Linear OOA(8180, 5592584, F81, 3, 13) (dual of [(5592584, 3), 16777672, 14]-NRT-code) [i]
8Linear OOA(8182, 5592648, F81, 3, 13) (dual of [(5592648, 3), 16777862, 14]-NRT-code) [i]
9Linear OOA(8124, 2796282, F81, 4, 6) (dual of [(2796282, 4), 11185104, 7]-NRT-code) [i]OOA Stacking with Additional Row
10Linear OOA(8124, 2796282, F81, 9, 6) (dual of [(2796282, 9), 25166514, 7]-NRT-code) [i]