Information on Result #1017934

Linear OOA(6490, 5592402, F64, 3, 16) (dual of [(5592402, 3), 16777116, 17]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(6429, 2796201, F64, 3, 8) (dual of [(2796201, 3), 8388574, 9]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6429, large, F64, 8) (dual of [large, large−29, 9]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
  2. linear OOA(6461, 2796201, F64, 3, 16) (dual of [(2796201, 3), 8388542, 17]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6461, large, F64, 16) (dual of [large, large−61, 17]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,15], 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(6491, 5592402, F64, 3, 16) (dual of [(5592402, 3), 16777115, 17]-NRT-code) [i]OOA Duplication