Information on Result #1019138

Linear OOA(12859, large, F128, 3, 9), using (u, u+v)-construction based on
  1. linear OOA(12813, 4194301, F128, 3, 4) (dual of [(4194301, 3), 12582890, 5]-NRT-code), using
  2. linear OOA(12846, 5592402, F128, 3, 9) (dual of [(5592402, 3), 16777160, 10]-NRT-code), using
    • (u, u+v)-construction [i] based on
      1. linear OOA(12813, 4194301, F128, 3, 4) (dual of [(4194301, 3), 12582890, 5]-NRT-code) (see above)
      2. linear OOA(12833, 2796201, F128, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
        • OOA 3-folding [i] based on linear OA(12833, large, F128, 9) (dual of [large, large−33, 10]-code), using
          • the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and t, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(12859, large, F128, 3, 8) [i]Strength Reduction for OOAs
2Linear OOA(12859, large, F128, 3, 7) [i]
3Linear OOA(12859, large, F128, 3, 6) [i]
4Linear OOA(12859, large, F128, 3, 5) [i]
5Linear OOA(12859, large, F128, 3, 4) [i]
6Linear OOA(12859, large, F128, 3, 3) [i]
7Linear OOA(12861, large, F128, 3, 9) [i]OOA Duplication