MinT - Information on Result #1075581

Information on Result #1075581

Linear OOA(2²⁵⁸, 294, F₂, 4, 49) (dual of [(294, 4), 918, 50]-NRT-code), using extracting embedded OOA based on digital (209, 258, 294)-net over F₂, using

trace code for nets [i] based on digital (37, 86, 98)-net over F₈, using
- net from sequence [i] based on digital (37, 97)-sequence over F₈, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 37 and N(F) ≥ 98, using
    - F₅ from the tower of function fields over F₈ by van der Geer and van der Vlugt [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(2²⁵⁹, 294, F₂, 4, 49) (dual of [(294, 4), 917, 50]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2²⁵⁸, 147, F₂, 8, 49) (dual of [(147, 8), 918, 50]-NRT-code)	[i]		OOA Folding