Information on Result #676151

Linear OA(3232, 2216, F3, 48) (dual of [2216, 1984, 49]-code), using construction XX applied to Ce(48) ⊂ Ce(43) ⊂ Ce(42) based on
  1. linear OA(3225, 2187, F3, 49) (dual of [2187, 1962, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
  2. linear OA(3204, 2187, F3, 44) (dual of [2187, 1983, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
  3. linear OA(3197, 2187, F3, 43) (dual of [2187, 1990, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [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(3232, 2197, F3, 2, 48) (dual of [(2197, 2), 4162, 49]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3232, 2197, F3, 3, 48) (dual of [(2197, 3), 6359, 49]-NRT-code) [i]
3Linear OOA(3232, 2197, F3, 4, 48) (dual of [(2197, 4), 8556, 49]-NRT-code) [i]
4Linear OOA(3232, 2197, F3, 5, 48) (dual of [(2197, 5), 10753, 49]-NRT-code) [i]
5Digital (184, 232, 2197)-net over F3 [i]
6Linear OOA(3232, 1108, F3, 2, 48) (dual of [(1108, 2), 1984, 49]-NRT-code) [i]OOA Folding
7Linear OOA(3232, 554, F3, 4, 48) (dual of [(554, 4), 1984, 49]-NRT-code) [i]
8Linear OOA(3232, 443, F3, 5, 48) (dual of [(443, 5), 1983, 49]-NRT-code) [i]