MinT - Information on Result #1074835

Information on Result #1074835

Linear OOA(2⁸⁸, 180, F₂, 4, 18) (dual of [(180, 4), 632, 19]-NRT-code), using extracting embedded OOA based on digital (70, 88, 180)-net over F₂, using

trace code for nets [i] based on digital (4, 22, 45)-net over F₁₆, using
- net from sequence [i] based on digital (4, 44)-sequence over F₁₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 4 and N(F) ≥ 45, using
    - a function field by GarcÃa and Quoos [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(2⁸⁹, 180, F₂, 4, 18) (dual of [(180, 4), 631, 19]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2⁸⁸, 90, F₂, 7, 18) (dual of [(90, 7), 542, 19]-NRT-code)	[i]		OOA Folding
3	Linear OOA(2⁸⁸, 90, F₂, 8, 18) (dual of [(90, 8), 632, 19]-NRT-code)	[i]		OOA Folding