Information on Result #1010816

Linear OOA(3165, 2796223, F3, 3, 16) (dual of [(2796223, 3), 8388504, 17]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(314, 22, F3, 3, 8) (dual of [(22, 3), 52, 9]-NRT-code), using
  2. linear OOA(3151, 2796201, F3, 3, 16) (dual of [(2796201, 3), 8388452, 17]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, 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(3168, 2796224, F3, 3, 16) (dual of [(2796224, 3), 8388504, 17]-NRT-code) [i]NRT-Code Embedding in Larger Space
2Linear OOA(3166, 2796223, F3, 3, 16) (dual of [(2796223, 3), 8388503, 17]-NRT-code) [i]OOA Duplication
3Linear OOA(3167, 2796223, F3, 3, 16) (dual of [(2796223, 3), 8388502, 17]-NRT-code) [i]
4Linear OOA(3241, 5592424, F3, 3, 16) (dual of [(5592424, 3), 16777031, 17]-NRT-code) [i](u, u+v)-Construction for OOAs
5Linear OOA(3165, 2796223, F3, 4, 16) (dual of [(2796223, 4), 11184727, 17]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
6Linear OOA(3165, 2796223, F3, 5, 16) (dual of [(2796223, 5), 13980950, 17]-NRT-code) [i]
7Digital (149, 165, 2796223)-net over F3 [i]