Information on Result #675750

Linear OA(3229, 2198, F3, 49) (dual of [2198, 1969, 50]-code), using construction X applied to C([0,24]) ⊂ C([0,22]) based on
  1. linear OA(3225, 2188, F3, 49) (dual of [2188, 1963, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
  2. linear OA(3211, 2188, F3, 45) (dual of [2188, 1977, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (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(3229, 1852, F3, 2, 49) (dual of [(1852, 2), 3475, 50]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3229, 1852, F3, 3, 49) (dual of [(1852, 3), 5327, 50]-NRT-code) [i]
3Linear OOA(3229, 1852, F3, 4, 49) (dual of [(1852, 4), 7179, 50]-NRT-code) [i]
4Linear OOA(3229, 1852, F3, 5, 49) (dual of [(1852, 5), 9031, 50]-NRT-code) [i]
5Digital (180, 229, 1852)-net over F3 [i]