MinT - Information on Result #1465692

Information on Result #1465692

Linear OOA(8²⁰, 162, F₈, 2, 9) (dual of [(162, 2), 304, 10]-NRT-code), using extracting embedded OOA based on digital (11, 20, 162)-net over F₈, using

trace code for nets [i] based on digital (1, 10, 81)-net over F₆₄, using
- net from sequence [i] based on digital (1, 80)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 81, 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(8²⁰, 162, F₈, 3, 9) (dual of [(162, 3), 466, 10]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound