Information on Result #1018774

Linear OOA(8171, 2796317, F81, 3, 16) (dual of [(2796317, 3), 8388880, 17]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(8110, 116, F81, 3, 8) (dual of [(116, 3), 338, 9]-NRT-code), using
  2. linear OOA(8161, 2796201, F81, 3, 16) (dual of [(2796201, 3), 8388542, 17]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(8161, large, F81, 16) (dual of [large, large−61, 17]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, 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(8172, 2796317, F81, 3, 16) (dual of [(2796317, 3), 8388879, 17]-NRT-code) [i]OOA Duplication