Information on Result #736951

Linear OA(3195, 19736, F3, 30) (dual of [19736, 19541, 31]-code), using construction X applied to Ce(30) ⊂ Ce(22) based on
  1. linear OA(3181, 19683, F3, 31) (dual of [19683, 19502, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(3136, 19683, F3, 23) (dual of [19683, 19547, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-code), 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(3195, 11395, F3, 2, 30) (dual of [(11395, 2), 22595, 31]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3195, 11395, F3, 3, 30) (dual of [(11395, 3), 33990, 31]-NRT-code) [i]
3Linear OOA(3195, 11395, F3, 4, 30) (dual of [(11395, 4), 45385, 31]-NRT-code) [i]
4Linear OOA(3195, 11395, F3, 5, 30) (dual of [(11395, 5), 56780, 31]-NRT-code) [i]
5Digital (165, 195, 11395)-net over F3 [i]
6Linear OOA(3195, 9868, F3, 2, 30) (dual of [(9868, 2), 19541, 31]-NRT-code) [i]OOA Folding
7Linear OOA(3195, 4934, F3, 4, 30) (dual of [(4934, 4), 19541, 31]-NRT-code) [i]
8Linear OOA(3195, 3947, F3, 5, 30) (dual of [(3947, 5), 19540, 31]-NRT-code) [i]