Information on Result #676382

Linear OA(353, 740, F3, 13) (dual of [740, 687, 14]-code), using construction X applied to C([0,6]) ⊂ C([0,4]) based on
  1. linear OA(349, 730, F3, 13) (dual of [730, 681, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
  2. linear OA(337, 730, F3, 9) (dual of [730, 693, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(353, 433, F3, 2, 13) (dual of [(433, 2), 813, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(353, 433, F3, 3, 13) (dual of [(433, 3), 1246, 14]-NRT-code) [i]
3Linear OOA(353, 433, F3, 4, 13) (dual of [(433, 4), 1679, 14]-NRT-code) [i]
4Linear OOA(353, 433, F3, 5, 13) (dual of [(433, 5), 2112, 14]-NRT-code) [i]
5Digital (40, 53, 433)-net over F3 [i]