MinT - Information on Result #891641

Information on Result #891641

Linear OOA(16⁵⁴, 514, F₁₆, 2, 27) (dual of [(514, 2), 974, 28]-NRT-code), using extracting embedded OOA based on digital (27, 54, 514)-net over F₁₆, using

trace code for nets [i] based on digital (0, 27, 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(16⁵⁵, 514, F₁₆, 2, 27) (dual of [(514, 2), 973, 28]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(16⁶⁷, 531, F₁₆, 2, 27) (dual of [(531, 2), 995, 28]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
3	Linear OOA(16⁶⁸, 538, F₁₆, 2, 27) (dual of [(538, 2), 1008, 28]-NRT-code)	[i]
4	Linear OOA(16⁶⁹, 547, F₁₆, 2, 27) (dual of [(547, 2), 1025, 28]-NRT-code)	[i]
5	Linear OOA(16⁷⁰, 552, F₁₆, 2, 27) (dual of [(552, 2), 1034, 28]-NRT-code)	[i]
6	Linear OOA(16⁷¹, 559, F₁₆, 2, 27) (dual of [(559, 2), 1047, 28]-NRT-code)	[i]
7	Linear OOA(16⁷², 563, F₁₆, 2, 27) (dual of [(563, 2), 1054, 28]-NRT-code)	[i]
8	Linear OOA(16⁷³, 579, F₁₆, 2, 27) (dual of [(579, 2), 1085, 28]-NRT-code)	[i]
9	OOA(16⁷⁵, 594, S₁₆, 2, 27)	[i]