MinT - Information on Result #891793

Information on Result #891793

Linear OOA(16⁸², 514, F₁₆, 2, 41) (dual of [(514, 2), 946, 42]-NRT-code), using extracting embedded OOA based on digital (41, 82, 514)-net over F₁₆, using

trace code for nets [i] based on digital (0, 41, 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(16⁸³, 514, F₁₆, 2, 41) (dual of [(514, 2), 945, 42]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(16¹⁰³, 538, F₁₆, 2, 41) (dual of [(538, 2), 973, 42]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
3	Linear OOA(16¹⁰⁴, 547, F₁₆, 2, 41) (dual of [(547, 2), 990, 42]-NRT-code)	[i]
4	Linear OOA(16¹⁰⁵, 552, F₁₆, 2, 41) (dual of [(552, 2), 999, 42]-NRT-code)	[i]
5	Linear OOA(16¹⁰⁶, 559, F₁₆, 2, 41) (dual of [(559, 2), 1012, 42]-NRT-code)	[i]
6	Linear OOA(16¹⁰⁷, 563, F₁₆, 2, 41) (dual of [(563, 2), 1019, 42]-NRT-code)	[i]
7	Linear OOA(16¹⁰⁸, 579, F₁₆, 2, 41) (dual of [(579, 2), 1050, 42]-NRT-code)	[i]
8	OOA(16¹¹⁴, 594, S₁₆, 2, 41)	[i]