MinT - Information on Result #1465541

Information on Result #1465541

Linear OOA(4²², 50, F₄, 2, 10) (dual of [(50, 2), 78, 11]-NRT-code), using extracting embedded OOA based on digital (12, 22, 50)-net over F₄, using

trace code for nets [i] based on digital (1, 11, 25)-net over F₁₆, using
- net from sequence [i] based on digital (1, 24)-sequence over F₁₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 25, using
    - sharp bound on the number of rational points on curves with genus 1 [i]

Mode: 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(4²², 50, F₄, 3, 10) (dual of [(50, 3), 128, 11]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound