MinT - Information on Result #1158499

Information on Result #1158499

Linear OOA(2²¹⁰, 380, F₂, 7, 37) (dual of [(380, 7), 2450, 38]-NRT-code), using extracting embedded OOA based on digital (173, 210, 380)-net over F₂, using

trace code for nets [i] based on digital (5, 42, 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(2²¹⁰, 380, F₂, 7, 36) (dual of [(380, 7), 2450, 37]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²¹¹, 380, F₂, 7, 37) (dual of [(380, 7), 2449, 38]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(2²¹², 380, F₂, 7, 37) (dual of [(380, 7), 2448, 38]-NRT-code)	[i]
4	Linear OOA(2²¹³, 380, F₂, 7, 37) (dual of [(380, 7), 2447, 38]-NRT-code)	[i]
5	Linear OOA(2²¹⁴, 380, F₂, 7, 37) (dual of [(380, 7), 2446, 38]-NRT-code)	[i]
6	Linear OOA(2²¹⁶, 380, F₂, 7, 37) (dual of [(380, 7), 2444, 38]-NRT-code)	[i]