MinT - Information on Result #1174647

Information on Result #1174647

Linear OOA(2²²⁵, 380, F₂, 8, 40) (dual of [(380, 8), 2815, 41]-NRT-code), using extracting embedded OOA based on digital (185, 225, 380)-net over F₂, using

trace code for nets [i] based on digital (5, 45, 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(2²²⁵, 380, F₂, 8, 39) (dual of [(380, 8), 2815, 40]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²³³, 381, F₂, 8, 40) (dual of [(381, 8), 2815, 41]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2²²⁶, 380, F₂, 8, 40) (dual of [(380, 8), 2814, 41]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(2²²⁷, 380, F₂, 8, 40) (dual of [(380, 8), 2813, 41]-NRT-code)	[i]
5	Linear OOA(2²²⁸, 380, F₂, 8, 40) (dual of [(380, 8), 2812, 41]-NRT-code)	[i]
6	Linear OOA(2²²⁹, 380, F₂, 8, 40) (dual of [(380, 8), 2811, 41]-NRT-code)	[i]
7	Linear OOA(2²³¹, 380, F₂, 8, 40) (dual of [(380, 8), 2809, 41]-NRT-code)	[i]
8	Linear OOA(2²³², 380, F₂, 8, 40) (dual of [(380, 8), 2808, 41]-NRT-code)	[i]