Information on Result #1009008

Linear OOA(2109, 2796458, F2, 3, 9) (dual of [(2796458, 3), 8389265, 10]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(216, 257, F2, 3, 4) (dual of [(257, 3), 755, 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(2109, 2796458, F2, 3, 8) (dual of [(2796458, 3), 8389265, 9]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2110, 2796458, F2, 3, 9) (dual of [(2796458, 3), 8389264, 10]-NRT-code) [i]OOA Duplication
3Linear OOA(2109, 2796458, F2, 4, 9) (dual of [(2796458, 4), 11185723, 10]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(2109, 2796458, F2, 5, 9) (dual of [(2796458, 5), 13982181, 10]-NRT-code) [i]
5Linear OOA(2109, 2796458, F2, 6, 9) (dual of [(2796458, 6), 16778639, 10]-NRT-code) [i]
6Linear OOA(2109, 2796458, F2, 7, 9) (dual of [(2796458, 7), 19575097, 10]-NRT-code) [i]
7Linear OOA(2109, 2796458, F2, 8, 9) (dual of [(2796458, 8), 22371555, 10]-NRT-code) [i]