MinT - Information on Result #891555

Information on Result #891555

Linear OOA(16³⁰, 514, F₁₆, 2, 15) (dual of [(514, 2), 998, 16]-NRT-code), using extracting embedded OOA based on digital (15, 30, 514)-net over F₁₆, using

trace code for nets [i] based on digital (0, 15, 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(16³¹, 514, F₁₆, 2, 15) (dual of [(514, 2), 997, 16]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(16³⁷, 531, F₁₆, 2, 15) (dual of [(531, 2), 1025, 16]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
3	Linear OOA(16³⁸, 538, F₁₆, 2, 15) (dual of [(538, 2), 1038, 16]-NRT-code)	[i]
4	Linear OOA(16³⁹, 547, F₁₆, 2, 15) (dual of [(547, 2), 1055, 16]-NRT-code)	[i]
5	Linear OOA(16⁴⁰, 552, F₁₆, 2, 15) (dual of [(552, 2), 1064, 16]-NRT-code)	[i]
6	Linear OOA(16⁴¹, 559, F₁₆, 2, 15) (dual of [(559, 2), 1077, 16]-NRT-code)	[i]
7	Linear OOA(16⁴², 564, F₁₆, 2, 15) (dual of [(564, 2), 1086, 16]-NRT-code)	[i]
8	Linear OOA(16⁴², 565, F₁₆, 2, 15) (dual of [(565, 2), 1088, 16]-NRT-code)	[i]
9	OOA(16⁴⁰, 558, S₁₆, 2, 15)	[i]
10	OOA(16⁴¹, 579, S₁₆, 2, 15)	[i]
11	OOA(16⁴², 594, S₁₆, 2, 15)	[i]