Information on Result #675032

Linear OA(3243, 19725, F3, 38) (dual of [19725, 19482, 39]-code), using construction X applied to C([0,19]) ⊂ C([0,16]) based on
  1. linear OA(3235, 19684, F3, 39) (dual of [19684, 19449, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
  2. linear OA(3199, 19684, F3, 33) (dual of [19684, 19485, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
  3. linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
    • the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [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(3243, 11474, F3, 2, 38) (dual of [(11474, 2), 22705, 39]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3243, 11474, F3, 3, 38) (dual of [(11474, 3), 34179, 39]-NRT-code) [i]
3Linear OOA(3243, 11474, F3, 4, 38) (dual of [(11474, 4), 45653, 39]-NRT-code) [i]
4Linear OOA(3243, 11474, F3, 5, 38) (dual of [(11474, 5), 57127, 39]-NRT-code) [i]
5Digital (205, 243, 11474)-net over F3 [i]