Information on Result #1021105

Linear OOA(3239, 5592497, F3, 3, 16) (dual of [(5592497, 3), 16777252, 17]-NRT-code), using generalized (u, u+v)-construction based on
  1. linear OOA(312, 95, F3, 3, 5) (dual of [(95, 3), 273, 6]-NRT-code), using
  2. linear OOA(376, 2796201, F3, 3, 8) (dual of [(2796201, 3), 8388527, 9]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(376, large, F3, 8) (dual of [large, large−76, 9]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
  3. 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(3239, 2796248, F3, 5, 16) (dual of [(2796248, 5), 13981001, 17]-NRT-code) [i]OOA Folding