Information on Result #1019049

Linear OOA(12824, 2796330, F128, 3, 6) (dual of [(2796330, 3), 8388966, 7]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(1283, 129, F128, 3, 3) (dual of [(129, 3), 384, 4]-NRT-code), using
  2. linear OOA(12821, 2796201, F128, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(12821, large, F128, 6) (dual of [large, large−21, 7]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, 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(12831, 5592660, F128, 3, 6) (dual of [(5592660, 3), 16777949, 7]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(12875, 5592660, F128, 3, 12) (dual of [(5592660, 3), 16777905, 13]-NRT-code) [i]
3Linear OOA(12876, 5592681, F128, 3, 12) (dual of [(5592681, 3), 16777967, 13]-NRT-code) [i]
4Linear OOA(12878, 5592789, F128, 3, 12) (dual of [(5592789, 3), 16778289, 13]-NRT-code) [i]
5Linear OOA(12824, 2796329, F128, 4, 6) (dual of [(2796329, 4), 11185292, 7]-NRT-code) [i]OOA Stacking with Additional Row
6Linear OOA(12824, 2796329, F128, 9, 6) (dual of [(2796329, 9), 25166937, 7]-NRT-code) [i]