MinT - Information on Result #1075301

Information on Result #1075301

Linear OOA(2¹⁶⁸, 260, F₂, 4, 36) (dual of [(260, 4), 872, 37]-NRT-code), using extracting embedded OOA based on digital (132, 168, 260)-net over F₂, using

trace code for nets [i] based on digital (6, 42, 65)-net over F₁₆, using
- net from sequence [i] based on digital (6, 64)-sequence over F₁₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
    - the Hermitian function field over F₁₆ [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(2¹⁷², 261, F₂, 4, 36) (dual of [(261, 4), 872, 37]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(2¹⁷⁶, 262, F₂, 4, 36) (dual of [(262, 4), 872, 37]-NRT-code)	[i]
3	Linear OOA(2¹⁸⁰, 263, F₂, 4, 36) (dual of [(263, 4), 872, 37]-NRT-code)	[i]
4	Linear OOA(2¹⁶⁹, 260, F₂, 4, 36) (dual of [(260, 4), 871, 37]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(2¹⁷⁰, 260, F₂, 4, 36) (dual of [(260, 4), 870, 37]-NRT-code)	[i]
6	Linear OOA(2¹⁷¹, 260, F₂, 4, 36) (dual of [(260, 4), 869, 37]-NRT-code)	[i]
7	Linear OOA(2¹⁹¹, 269, F₂, 4, 36) (dual of [(269, 4), 885, 37]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
8	Linear OOA(2¹⁹², 270, F₂, 4, 36) (dual of [(270, 4), 888, 37]-NRT-code)	[i]
9	Linear OOA(2¹⁹⁴, 271, F₂, 4, 36) (dual of [(271, 4), 890, 37]-NRT-code)	[i]
10	Linear OOA(2¹⁶⁸, 130, F₂, 7, 36) (dual of [(130, 7), 742, 37]-NRT-code)	[i]		OOA Folding
11	Linear OOA(2¹⁶⁸, 130, F₂, 8, 36) (dual of [(130, 8), 872, 37]-NRT-code)	[i]		OOA Folding