Information on Result #676376

Linear OA(377, 740, F3, 19) (dual of [740, 663, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,7]) based on
  1. linear OA(373, 730, F3, 19) (dual of [730, 657, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  2. linear OA(361, 730, F3, 15) (dual of [730, 669, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(377, 473, F3, 2, 19) (dual of [(473, 2), 869, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(377, 473, F3, 3, 19) (dual of [(473, 3), 1342, 20]-NRT-code) [i]
3Linear OOA(377, 473, F3, 4, 19) (dual of [(473, 4), 1815, 20]-NRT-code) [i]
4Linear OOA(377, 473, F3, 5, 19) (dual of [(473, 5), 2288, 20]-NRT-code) [i]
5Digital (58, 77, 473)-net over F3 [i]