Information on Result #675046

Linear OA(3207, 19725, F3, 32) (dual of [19725, 19518, 33]-code), using construction X applied to C([0,16]) ⊂ C([0,13]) based on
  1. 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]
  2. linear OA(3163, 19684, F3, 27) (dual of [19684, 19521, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(3207, 11347, F3, 2, 32) (dual of [(11347, 2), 22487, 33]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3207, 11347, F3, 3, 32) (dual of [(11347, 3), 33834, 33]-NRT-code) [i]
3Linear OOA(3207, 11347, F3, 4, 32) (dual of [(11347, 4), 45181, 33]-NRT-code) [i]
4Linear OOA(3207, 11347, F3, 5, 32) (dual of [(11347, 5), 56528, 33]-NRT-code) [i]
5Digital (175, 207, 11347)-net over F3 [i]