Information on Result #894419

Linear OOA(2253, 4259837, F2, 2, 17) (dual of [(4259837, 2), 8519421, 18]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(268, 65536, F2, 2, 8) (dual of [(65536, 2), 131004, 9]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(268, 131072, F2, 8) (dual of [131072, 131004, 9]-code), using
      • 1 times truncation [i] based on linear OA(269, 131073, F2, 9) (dual of [131073, 131004, 10]-code), using
        • the expurgated narrow-sense BCH-code C(I) with length 131073 | 234−1, 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(2253, 2129918, F2, 4, 17) (dual of [(2129918, 4), 8519419, 18]-NRT-code) [i]OOA Folding
2Linear OOA(2253, 1419945, F2, 6, 17) (dual of [(1419945, 6), 8519417, 18]-NRT-code) [i]
3Linear OOA(2253, 1064959, F2, 8, 17) (dual of [(1064959, 8), 8519419, 18]-NRT-code) [i]