MinT - Information on Result #1074448

Information on Result #1074448

Linear OOA(2²¹, 29, F₂, 4, 9) (dual of [(29, 4), 95, 10]-NRT-code), using extracting embedded OOA based on digital (12, 21, 29)-net over F₂, using

linear code embedding found in a computer search [i]

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:

	Result		This result only	Method
1	Linear OOA(2²², 29, F₂, 4, 9) (dual of [(29, 4), 94, 10]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2²³, 29, F₂, 4, 9) (dual of [(29, 4), 93, 10]-NRT-code)	[i]
3	Linear OOA(2²⁴, 29, F₂, 4, 9) (dual of [(29, 4), 92, 10]-NRT-code)	[i]
4	Linear OOA(2³¹, 58, F₂, 4, 9) (dual of [(58, 4), 201, 10]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
5	Linear OOA(2²²⁸, 2097179, F₂, 4, 18) (dual of [(2097179, 4), 8388488, 19]-NRT-code)	[i]
6	Linear OOA(2²³⁰, 2097180, F₂, 4, 18) (dual of [(2097180, 4), 8388490, 19]-NRT-code)	[i]
7	Linear OOA(2²²⁹, 2097179, F₂, 4, 19) (dual of [(2097179, 4), 8388487, 20]-NRT-code)	[i]
8	Linear OOA(2²³¹, 2097180, F₂, 4, 19) (dual of [(2097180, 4), 8388489, 20]-NRT-code)	[i]
9	Linear OOA(2²¹, 28, F₂, 5, 9) (dual of [(28, 5), 119, 10]-NRT-code)	[i]		OOA Stacking with Additional Row
10	Linear OOA(2²¹, 28, F₂, 6, 9) (dual of [(28, 6), 147, 10]-NRT-code)	[i]
11	Linear OOA(2²¹, 28, F₂, 7, 9) (dual of [(28, 7), 175, 10]-NRT-code)	[i]
12	Linear OOA(2²¹, 28, F₂, 8, 9) (dual of [(28, 8), 203, 10]-NRT-code)	[i]