Information on Result #1019052

Linear OOA(12827, 4926251, F128, 3, 6) (dual of [(4926251, 3), 14778726, 7]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(1286, 2130050, F128, 3, 3) (dual of [(2130050, 3), 6390144, 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(12833, 7056301, F128, 3, 6) (dual of [(7056301, 3), 21168870, 7]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(12834, large, F128, 3, 6) [i]
3Linear OOA(12827, 4926250, F128, 4, 6) (dual of [(4926250, 4), 19704973, 7]-NRT-code) [i]OOA Stacking with Additional Row
4Linear OOA(12827, 4926250, F128, 9, 6) (dual of [(4926250, 9), 44336223, 7]-NRT-code) [i]