Information on Result #894333

Linear OOA(2220, 4194557, F2, 2, 16) (dual of [(4194557, 2), 8388894, 17]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(236, 256, F2, 2, 8) (dual of [(256, 2), 476, 9]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(236, 512, F2, 8) (dual of [512, 476, 9]-code), using
      • 1 times truncation [i] based on linear OA(237, 513, F2, 9) (dual of [513, 476, 10]-code), using
        • the expurgated narrow-sense BCH-code C(I) with length 513 | 218−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
  2. linear OOA(2184, 4194301, F2, 2, 16) (dual of [(4194301, 2), 8388418, 17]-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(2220, 2097278, F2, 4, 16) (dual of [(2097278, 4), 8388892, 17]-NRT-code) [i]OOA Folding
2Linear OOA(2220, 1398185, F2, 6, 16) (dual of [(1398185, 6), 8388890, 17]-NRT-code) [i]
3Linear OOA(2220, 1048639, F2, 8, 16) (dual of [(1048639, 8), 8388892, 17]-NRT-code) [i]