MinT - Information on Result #1159079

Information on Result #1159079

Linear OOA(2²⁴⁵, 380, F₂, 7, 44) (dual of [(380, 7), 2415, 45]-NRT-code), using extracting embedded OOA based on digital (201, 245, 380)-net over F₂, using

trace code for nets [i] based on digital (5, 49, 76)-net over F₃₂, using
- net from sequence [i] based on digital (5, 75)-sequence over F₃₂, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 5 and N(F) ≥ 76, using
    - a function field by SÃ©mirat [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(2²⁴⁵, 380, F₂, 7, 43) (dual of [(380, 7), 2415, 44]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁵², 381, F₂, 7, 44) (dual of [(381, 7), 2415, 45]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2²⁴⁶, 380, F₂, 7, 44) (dual of [(380, 7), 2414, 45]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(2²⁴⁷, 380, F₂, 7, 44) (dual of [(380, 7), 2413, 45]-NRT-code)	[i]
5	Linear OOA(2²⁴⁸, 380, F₂, 7, 44) (dual of [(380, 7), 2412, 45]-NRT-code)	[i]
6	Linear OOA(2²⁴⁹, 380, F₂, 7, 44) (dual of [(380, 7), 2411, 45]-NRT-code)	[i]
7	Linear OOA(2²⁵¹, 380, F₂, 7, 44) (dual of [(380, 7), 2409, 45]-NRT-code)	[i]