MinT - Information on Result #1174016

Information on Result #1174016

Linear OOA(2¹⁸⁸, 66, F₂, 8, 79) (dual of [(66, 8), 340, 80]-NRT-code), using extracting embedded OOA based on digital (109, 188, 66)-net over F₂, using

trace code for nets [i] based on digital (15, 94, 33)-net over F₄, using
- net from sequence [i] based on digital (15, 32)-sequence over F₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
    - an explicitly constructive algebraic function field [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(2¹⁸⁸, 66, F₂, 8, 78) (dual of [(66, 8), 340, 79]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁸⁸, 66, F₂, 8, 77) (dual of [(66, 8), 340, 78]-NRT-code)	[i]
3	Linear OOA(2¹⁸⁸, 66, F₂, 8, 76) (dual of [(66, 8), 340, 77]-NRT-code)	[i]
4	Linear OOA(2¹⁹⁶, 67, F₂, 8, 79) (dual of [(67, 8), 340, 80]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
5	Linear OOA(2¹⁸⁹, 66, F₂, 8, 79) (dual of [(66, 8), 339, 80]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(2¹⁹¹, 66, F₂, 8, 79) (dual of [(66, 8), 337, 80]-NRT-code)	[i]
7	Linear OOA(2¹⁹³, 66, F₂, 8, 79) (dual of [(66, 8), 335, 80]-NRT-code)	[i]
8	Linear OOA(2¹⁹⁵, 66, F₂, 8, 79) (dual of [(66, 8), 333, 80]-NRT-code)	[i]