MinT - Information on Result #789463

Information on Result #789463

Digital (15, 27, 27)-net over F₂, using a shift-net

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 (15, 26, 27)-net over F₂	[i]		m-Reduction
2	Digital (15, 25, 27)-net over F₂	[i]		m-Reduction
3	Digital (29, 41, 53)-net over F₂	[i]		(u,Â u+v)-Construction for Nets
4	Linear OOA(2²⁷, 27, F₂, 2, 12) (dual of [(27, 2), 27, 13]-NRT-code)	[i]		Extracting Embedded OOA
5	Linear OOA(2²⁷, 27, F₂, 3, 12) (dual of [(27, 3), 54, 13]-NRT-code)	[i]
6	Linear OOA(2²⁷, 27, F₂, 4, 12) (dual of [(27, 4), 81, 13]-NRT-code)	[i]
7	Linear OOA(2²⁷, 27, F₂, 5, 12) (dual of [(27, 5), 108, 13]-NRT-code)	[i]
8	Linear OOA(2²⁷, 27, F₂, 6, 12) (dual of [(27, 6), 135, 13]-NRT-code)	[i]
9	Linear OOA(2²⁷, 27, F₂, 7, 12) (dual of [(27, 7), 162, 13]-NRT-code)	[i]
10	Linear OOA(2²⁷, 27, F₂, 8, 12) (dual of [(27, 8), 189, 13]-NRT-code)	[i]