Information on Result #894406

Linear OOA(2233, 4196349, F2, 2, 17) (dual of [(4196349, 2), 8392465, 18]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(248, 2048, F2, 2, 8) (dual of [(2048, 2), 4048, 9]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(248, 4096, F2, 8) (dual of [4096, 4048, 9]-code), using
      • 1 times truncation [i] based on linear OA(249, 4097, F2, 9) (dual of [4097, 4048, 10]-code), using
        • the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
  2. linear OOA(2185, 4194301, F2, 2, 17) (dual of [(4194301, 2), 8388417, 18]-NRT-code), using

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(2233, 2098174, F2, 4, 17) (dual of [(2098174, 4), 8392463, 18]-NRT-code) [i]OOA Folding
2Linear OOA(2233, 1398783, F2, 6, 17) (dual of [(1398783, 6), 8392465, 18]-NRT-code) [i]
3Linear OOA(2233, 1049087, F2, 8, 17) (dual of [(1049087, 8), 8392463, 18]-NRT-code) [i]