MinT - Information on Result #2539202

Information on Result #2539202

Linear OOA(9³⁷, 236, F₉, 2, 16) (dual of [(236, 2), 435, 17]-NRT-code), using 9¹ times duplication based on linear OOA(9³⁶, 236, F₉, 2, 16) (dual of [(236, 2), 436, 17]-NRT-code), using

extracting embedded OOA [i] based on digital (20, 36, 236)-net over F₉, using
- trace code for nets [i] based on digital (2, 18, 118)-net over F₈₁, using
  - net from sequence [i] based on digital (2, 117)-sequence over F₈₁, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 2 and N(F) ≥ 118, using
      - sharp bound on the number of rational points on curves with genus 2 [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(9³⁷, 236, F₉, 3, 16) (dual of [(236, 3), 671, 17]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound