Information on Result #1019050

Linear OOA(12825, 2812586, F128, 3, 6) (dual of [(2812586, 3), 8437733, 7]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(1284, 16385, F128, 3, 3) (dual of [(16385, 3), 49151, 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(12832, 5625172, F128, 3, 6) (dual of [(5625172, 3), 16875484, 7]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(12877, 5592702, F128, 3, 12) (dual of [(5592702, 3), 16778029, 13]-NRT-code) [i]
3Linear OOA(12825, 2812585, F128, 4, 6) (dual of [(2812585, 4), 11250315, 7]-NRT-code) [i]OOA Stacking with Additional Row
4Linear OOA(12825, 2812585, F128, 9, 6) (dual of [(2812585, 9), 25313240, 7]-NRT-code) [i]