MinT - Information on Result #1075373

Information on Result #1075373

Linear OOA(2¹⁸⁶, 66, F₂, 4, 78) (dual of [(66, 4), 78, 79]-NRT-code), using extracting embedded OOA based on digital (108, 186, 66)-net over F₂, using

trace code for nets [i] based on digital (15, 93, 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(2¹⁸⁶, 66, F₂, 4, 77) (dual of [(66, 4), 78, 78]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁹⁰, 67, F₂, 4, 78) (dual of [(67, 4), 78, 79]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2¹⁹⁴, 68, F₂, 4, 78) (dual of [(68, 4), 78, 79]-NRT-code)	[i]
4	Linear OOA(2¹⁹⁸, 69, F₂, 4, 78) (dual of [(69, 4), 78, 79]-NRT-code)	[i]
5	Linear OOA(2¹⁸⁷, 66, F₂, 4, 78) (dual of [(66, 4), 77, 79]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(2¹⁸⁹, 66, F₂, 4, 78) (dual of [(66, 4), 75, 79]-NRT-code)	[i]		OOA Duplication
7	Linear OOA(2¹⁸⁶, 33, F₂, 7, 78) (dual of [(33, 7), 45, 79]-NRT-code)	[i]		OOA Folding
8	Linear OOA(2¹⁸⁶, 33, F₂, 8, 78) (dual of [(33, 8), 78, 79]-NRT-code)	[i]		OOA Folding