MinT - Information on Result #1185354

Information on Result #1185354

Digital (135, 162, 1513)-net over F₃, using net defined by OOA based on linear OOA(3¹⁶², 1513, F₃, 27, 27) (dual of [(1513, 27), 40689, 28]-NRT-code), using

OOA 13-folding and stacking with additional row [i] based on linear OA(3¹⁶², 19670, F₃, 27) (dual of [19670, 19508, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(3¹⁶², 19682, F₃, 27) (dual of [19682, 19520, 28]-code), using
  - 1 times truncation [i] based on linear OA(3¹⁶³, 19683, F₃, 28) (dual of [19683, 19520, 29]-code), using
    - an extension C_e(27) of the primitive narrow-sense BCH-code C(I) with length 19682Â = 3⁹âˆ’1, defining interval IÂ =Â [1,27], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 28 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Digital (149, 176, 1520)-net over F₃	[i]	(u,Â u+v)-Construction for Nets
2	Digital (150, 177, 1521)-net over F₃	[i]
3	Digital (151, 178, 1523)-net over F₃	[i]
4	Digital (152, 179, 1525)-net over F₃	[i]