Information on Result #1009002

Linear OOA(2103, 2796233, F2, 3, 9) (dual of [(2796233, 3), 8388596, 10]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(210, 32, F2, 3, 4) (dual of [(32, 3), 86, 5]-NRT-code), using
  2. linear OOA(293, 2796201, F2, 3, 9) (dual of [(2796201, 3), 8388510, 10]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(293, large, F2, 9) (dual of [large, large−93, 10]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, 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 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(2103, 2731713, F2, 4, 9) (dual of [(2731713, 4), 10926749, 10]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(2103, 2731713, F2, 5, 9) (dual of [(2731713, 5), 13658462, 10]-NRT-code) [i]
3Linear OOA(2103, 2731713, F2, 6, 9) (dual of [(2731713, 6), 16390175, 10]-NRT-code) [i]
4Linear OOA(2103, 2731713, F2, 7, 9) (dual of [(2731713, 7), 19121888, 10]-NRT-code) [i]
5Linear OOA(2103, 2731713, F2, 8, 9) (dual of [(2731713, 8), 21853601, 10]-NRT-code) [i]