Information on Result #1009084

Linear OOA(2159, 2796328, F2, 3, 12) (dual of [(2796328, 3), 8388825, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(221, 127, F2, 3, 6) (dual of [(127, 3), 360, 7]-NRT-code), using
  2. linear OOA(2138, 2796201, F2, 3, 12) (dual of [(2796201, 3), 8388465, 13]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(2161, 2796328, F2, 3, 12) (dual of [(2796328, 3), 8388823, 13]-NRT-code) [i]OOA Duplication
2Linear OOA(2226, 5592656, F2, 3, 12) (dual of [(5592656, 3), 16777742, 13]-NRT-code) [i](u, u+v)-Construction for OOAs
3Linear OOA(2159, 2791086, F2, 4, 12) (dual of [(2791086, 4), 11164185, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(2159, 2791086, F2, 5, 12) (dual of [(2791086, 5), 13955271, 13]-NRT-code) [i]
5Linear OOA(2159, 2791086, F2, 6, 12) (dual of [(2791086, 6), 16746357, 13]-NRT-code) [i]
6Linear OOA(2159, 2791086, F2, 7, 12) (dual of [(2791086, 7), 19537443, 13]-NRT-code) [i]
7Linear OOA(2159, 2791086, F2, 8, 12) (dual of [(2791086, 8), 22328529, 13]-NRT-code) [i]
8Digital (147, 159, 2791086)-net over F2 [i]
9Linear OOA(2159, 1398164, F2, 6, 12) (dual of [(1398164, 6), 8388825, 13]-NRT-code) [i]OOA Folding