MinT - Information on Result #1190866

Information on Result #1190866

Digital (69, 90, 1680)-net over F₇, using net defined by OOA based on linear OOA(7⁹⁰, 1680, F₇, 21, 21) (dual of [(1680, 21), 35190, 22]-NRT-code), using

OOA 10-folding and stacking with additional row [i] based on linear OA(7⁹⁰, 16801, F₇, 21) (dual of [16801, 16711, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(7⁹⁰, 16806, F₇, 21) (dual of [16806, 16716, 22]-code), using
  - 1 times truncation [i] based on linear OA(7⁹¹, 16807, F₇, 22) (dual of [16807, 16716, 23]-code), using
    - an extension C_e(21) of the primitive narrow-sense BCH-code C(I) with length 16806Â = 7⁵âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [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 (79, 100, 1688)-net over F₇	[i]	(u,Â u+v)-Construction for Nets
2	Digital (80, 101, 1693)-net over F₇	[i]
3	Digital (82, 103, 1694)-net over F₇	[i]
4	Digital (83, 104, 1696)-net over F₇	[i]
5	Digital (84, 105, 1698)-net over F₇	[i]
6	Digital (85, 106, 1701)-net over F₇	[i]
7	Digital (86, 107, 1706)-net over F₇	[i]