MinT - Information on Result #1466190

Information on Result #1466190

Linear OOA(16³⁰, 578, F₁₆, 2, 14) (dual of [(578, 2), 1126, 15]-NRT-code), using extracting embedded OOA based on digital (16, 30, 578)-net over F₁₆, using

trace code for nets [i] based on digital (1, 15, 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(16³¹, 578, F₁₆, 2, 14) (dual of [(578, 2), 1125, 15]-NRT-code)	[i]		OOA Duplication