Information on Result #1009009

Linear OOA(2111, 2796712, F2, 3, 9) (dual of [(2796712, 3), 8390025, 10]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(218, 511, F2, 3, 4) (dual of [(511, 3), 1515, 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(2111, 2796712, F2, 4, 9) (dual of [(2796712, 4), 11186737, 10]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(2111, 2796712, F2, 5, 9) (dual of [(2796712, 5), 13983449, 10]-NRT-code) [i]
3Linear OOA(2111, 2796712, F2, 6, 9) (dual of [(2796712, 6), 16780161, 10]-NRT-code) [i]
4Linear OOA(2111, 2796712, F2, 7, 9) (dual of [(2796712, 7), 19576873, 10]-NRT-code) [i]
5Linear OOA(2111, 2796712, F2, 8, 9) (dual of [(2796712, 8), 22373585, 10]-NRT-code) [i]