MinT - Information on Result #891561

Information on Result #891561

Linear OOA(16³², 514, F₁₆, 2, 16) (dual of [(514, 2), 996, 17]-NRT-code), using extracting embedded OOA based on digital (16, 32, 514)-net over F₁₆, using

trace code for nets [i] based on digital (0, 16, 257)-net over F₂₅₆, using
- net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
  - generalized Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
    - the rational function field F₂₅₆(x) [i]
  - Niederreiter sequence [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(16³³, 514, F₁₆, 2, 16) (dual of [(514, 2), 995, 17]-NRT-code)	[i]		OOA Duplication
2	OOA(8⁴³, 514, S₈, 2, 16)	[i]		Discarding Parts of the Base for OOAs
3	Linear OOA(16⁴⁰, 531, F₁₆, 2, 16) (dual of [(531, 2), 1022, 17]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
4	Linear OOA(16⁴¹, 538, F₁₆, 2, 16) (dual of [(538, 2), 1035, 17]-NRT-code)	[i]
5	Linear OOA(16⁴², 547, F₁₆, 2, 16) (dual of [(547, 2), 1052, 17]-NRT-code)	[i]
6	Linear OOA(16⁴³, 552, F₁₆, 2, 16) (dual of [(552, 2), 1061, 17]-NRT-code)	[i]
7	Linear OOA(16⁴⁴, 559, F₁₆, 2, 16) (dual of [(559, 2), 1074, 17]-NRT-code)	[i]
8	OOA(16⁴⁴, 579, S₁₆, 2, 16)	[i]