MinT - Information on Result #891834

Information on Result #891834

Linear OOA(16⁸⁸, 514, F₁₆, 2, 44) (dual of [(514, 2), 940, 45]-NRT-code), using extracting embedded OOA based on digital (44, 88, 514)-net over F₁₆, using

trace code for nets [i] based on digital (0, 44, 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(16⁸⁹, 514, F₁₆, 2, 44) (dual of [(514, 2), 939, 45]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(16¹¹¹, 538, F₁₆, 2, 44) (dual of [(538, 2), 965, 45]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
3	Linear OOA(16¹¹², 547, F₁₆, 2, 44) (dual of [(547, 2), 982, 45]-NRT-code)	[i]
4	Linear OOA(16¹¹³, 552, F₁₆, 2, 44) (dual of [(552, 2), 991, 45]-NRT-code)	[i]
5	Linear OOA(16¹¹⁴, 559, F₁₆, 2, 44) (dual of [(559, 2), 1004, 45]-NRT-code)	[i]
6	Linear OOA(16¹¹⁵, 563, F₁₆, 2, 44) (dual of [(563, 2), 1011, 45]-NRT-code)	[i]
7	Linear OOA(16¹¹⁶, 579, F₁₆, 2, 44) (dual of [(579, 2), 1042, 45]-NRT-code)	[i]
8	OOA(16¹²², 590, S₁₆, 2, 44)	[i]
9	OOA(16¹²³, 594, S₁₆, 2, 44)	[i]