Information on Result #1009370

Linear OOA(2214, 2796268, F2, 3, 16) (dual of [(2796268, 3), 8388590, 17]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(230, 67, F2, 3, 8) (dual of [(67, 3), 171, 9]-NRT-code), using
  2. linear OOA(2184, 2796201, F2, 3, 16) (dual of [(2796201, 3), 8388419, 17]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(2214, 1398134, F2, 6, 16) (dual of [(1398134, 6), 8388590, 17]-NRT-code) [i]OOA Folding