Information on Result #1009423

Linear OOA(2203, 2796227, F2, 3, 17) (dual of [(2796227, 3), 8388478, 18]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(218, 26, F2, 3, 8) (dual of [(26, 3), 60, 9]-NRT-code), using
  2. linear OOA(2185, 2796201, F2, 3, 17) (dual of [(2796201, 3), 8388418, 18]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(2203, 1398113, F2, 6, 17) (dual of [(1398113, 6), 8388475, 18]-NRT-code) [i]OOA Folding