Information on Result #676357

Linear OA(3149, 740, F3, 37) (dual of [740, 591, 38]-code), using construction X applied to C([0,18]) ⊂ C([0,16]) based on
  1. linear OA(3145, 730, F3, 37) (dual of [730, 585, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
  2. linear OA(3133, 730, F3, 33) (dual of [730, 597, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(3149, 694, F3, 2, 37) (dual of [(694, 2), 1239, 38]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3149, 694, F3, 3, 37) (dual of [(694, 3), 1933, 38]-NRT-code) [i]
3Linear OOA(3149, 694, F3, 4, 37) (dual of [(694, 4), 2627, 38]-NRT-code) [i]
4Linear OOA(3149, 694, F3, 5, 37) (dual of [(694, 5), 3321, 38]-NRT-code) [i]
5Digital (112, 149, 694)-net over F3 [i]