MinT - Information on Result #1000940

Information on Result #1000940

Linear OOA(2¹⁸⁸, 260, F₂, 3, 41) (dual of [(260, 3), 592, 42]-NRT-code), using extracting embedded OOA based on digital (147, 188, 260)-net over F₂, using

trace code for nets [i] based on digital (6, 47, 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(2¹⁹¹, 261, F₂, 3, 41) (dual of [(261, 3), 592, 42]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(2¹⁹⁴, 262, F₂, 3, 41) (dual of [(262, 3), 592, 42]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2¹⁸⁹, 260, F₂, 3, 41) (dual of [(260, 3), 591, 42]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(2¹⁹⁰, 260, F₂, 3, 41) (dual of [(260, 3), 590, 42]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(2¹⁸⁸, 130, F₂, 5, 41) (dual of [(130, 5), 462, 42]-NRT-code)	[i]		OOA Folding
6	Linear OOA(2¹⁸⁸, 130, F₂, 6, 41) (dual of [(130, 6), 592, 42]-NRT-code)	[i]		OOA Folding