MinT - Information on Result #1466192

Information on Result #1466192

Linear OOA(16³², 578, F₁₆, 2, 15) (dual of [(578, 2), 1124, 16]-NRT-code), using extracting embedded OOA based on digital (17, 32, 578)-net over F₁₆, using

trace code for nets [i] based on digital (1, 16, 289)-net over F₂₅₆, using
- net from sequence [i] based on digital (1, 288)-sequence over F₂₅₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 1 and N(F) ≥ 289, 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(16³³, 578, F₁₆, 2, 15) (dual of [(578, 2), 1123, 16]-NRT-code)	[i]		OOA Duplication
2	OOA(8⁴³, 578, S₈, 2, 15)	[i]		Discarding Parts of the Base for OOAs