Information on Result #662031

Linear OA(399, 19694, F3, 15) (dual of [19694, 19595, 16]-code), using (u, u+v)-construction based on
  1. linear OA(39, 12, F3, 7) (dual of [12, 3, 8]-code), using
    • 1 times truncation [i] based on linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
      • Simplex code S(3,3) [i]
      • the expurgated narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [i]
  2. linear OA(390, 19682, F3, 15) (dual of [19682, 19592, 16]-code), using
    • 1 times truncation [i] based on linear OA(391, 19683, F3, 16) (dual of [19683, 19592, 17]-code), using
      • an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(399, 11186, F3, 2, 15) (dual of [(11186, 2), 22273, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(399, 11186, F3, 3, 15) (dual of [(11186, 3), 33459, 16]-NRT-code) [i]
3Linear OOA(399, 11186, F3, 4, 15) (dual of [(11186, 4), 44645, 16]-NRT-code) [i]
4Linear OOA(399, 11186, F3, 5, 15) (dual of [(11186, 5), 55831, 16]-NRT-code) [i]
5Digital (84, 99, 11186)-net over F3 [i]