MinT - Information on Result #1172654

Information on Result #1172654

Linear OOA(2⁷², 180, F₂, 8, 14) (dual of [(180, 8), 1368, 15]-NRT-code), using extracting embedded OOA based on digital (58, 72, 180)-net over F₂, using

trace code for nets [i] based on digital (4, 18, 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(2⁷³, 180, F₂, 8, 14) (dual of [(180, 8), 1367, 15]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2⁷⁴, 180, F₂, 8, 14) (dual of [(180, 8), 1366, 15]-NRT-code)	[i]		OOA Duplication