MinT - Information on Result #1199640

Information on Result #1199640

Digital (51, 69, 116508)-net over F₃₂, using net defined by OOA based on linear OOA(32⁶⁹, 116508, F₃₂, 18, 18) (dual of [(116508, 18), 2097075, 19]-NRT-code), using

OA 9-folding and stacking [i] based on linear OA(32⁶⁹, 1048572, F₃₂, 18) (dual of [1048572, 1048503, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(32⁶⁹, 1048576, F₃₂, 18) (dual of [1048576, 1048507, 19]-code), using
  - an extension C_e(17) of the primitive narrow-sense BCH-code C(I) with length 1048575Â = 32⁴âˆ’1, defining interval IÂ =Â [1,17], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18 [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		This result only	Method
1	Digital (60, 78, 116541)-net over F₃₂	[i]		(u,Â u+v)-Construction for Nets
2	Digital (61, 79, 116552)-net over F₃₂	[i]
3	Digital (63, 81, 116572)-net over F₃₂	[i]
4	Digital (64, 82, 116574)-net over F₃₂	[i]
5	Digital (65, 83, 116585)-net over F₃₂	[i]
6	Digital (66, 84, 116596)-net over F₃₂	[i]
7	Digital (67, 85, 116606)-net over F₃₂	[i]
8	Digital (67, 85, 116607)-net over F₃₂	[i]