Information on Result #894411

Linear OOA(2241, 4202493, F2, 2, 17) (dual of [(4202493, 2), 8404745, 18]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(256, 8192, F2, 2, 8) (dual of [(8192, 2), 16328, 9]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(256, 16384, F2, 8) (dual of [16384, 16328, 9]-code), using
      • 1 times truncation [i] based on linear OA(257, 16385, F2, 9) (dual of [16385, 16328, 10]-code), using
        • the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, 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(2241, 2101246, F2, 4, 17) (dual of [(2101246, 4), 8404743, 18]-NRT-code) [i]OOA Folding
2Linear OOA(2241, 1400831, F2, 6, 17) (dual of [(1400831, 6), 8404745, 18]-NRT-code) [i]
3Linear OOA(2241, 1050623, F2, 8, 17) (dual of [(1050623, 8), 8404743, 18]-NRT-code) [i]