Information on Result #676241

Linear OA(392, 2216, F3, 18) (dual of [2216, 2124, 19]-code), using construction XX applied to Ce(18) ⊂ Ce(13) ⊂ Ce(12) based on
  1. linear OA(385, 2187, F3, 19) (dual of [2187, 2102, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(364, 2187, F3, 14) (dual of [2187, 2123, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. linear OA(357, 2187, F3, 13) (dual of [2187, 2130, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  4. linear OA(36, 28, F3, 3) (dual of [28, 22, 4]-code or 28-cap in PG(5,3)), using
  5. linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using

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(392, 1744, F3, 2, 18) (dual of [(1744, 2), 3396, 19]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(392, 1744, F3, 3, 18) (dual of [(1744, 3), 5140, 19]-NRT-code) [i]
3Linear OOA(392, 1744, F3, 4, 18) (dual of [(1744, 4), 6884, 19]-NRT-code) [i]
4Linear OOA(392, 1744, F3, 5, 18) (dual of [(1744, 5), 8628, 19]-NRT-code) [i]
5Digital (74, 92, 1744)-net over F3 [i]
6Linear OOA(392, 1108, F3, 2, 18) (dual of [(1108, 2), 2124, 19]-NRT-code) [i]OOA Folding
7Linear OOA(392, 554, F3, 4, 18) (dual of [(554, 4), 2124, 19]-NRT-code) [i]
8Linear OOA(392, 443, F3, 5, 18) (dual of [(443, 5), 2123, 19]-NRT-code) [i]