Information on Result #675757

Linear OA(3201, 2198, F3, 43) (dual of [2198, 1997, 44]-code), using construction X applied to C([0,21]) ⊂ C([0,19]) based on
  1. linear OA(3197, 2188, F3, 43) (dual of [2188, 1991, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
  2. linear OA(3183, 2188, F3, 39) (dual of [2188, 2005, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
  3. linear OA(34, 10, F3, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)), 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(3201, 1677, F3, 2, 43) (dual of [(1677, 2), 3153, 44]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3201, 1677, F3, 3, 43) (dual of [(1677, 3), 4830, 44]-NRT-code) [i]
3Linear OOA(3201, 1677, F3, 4, 43) (dual of [(1677, 4), 6507, 44]-NRT-code) [i]
4Linear OOA(3201, 1677, F3, 5, 43) (dual of [(1677, 5), 8184, 44]-NRT-code) [i]
5Digital (158, 201, 1677)-net over F3 [i]