MinT - Information on Result #1465710

Information on Result #1465710

Linear OOA(8³⁸, 194, F₈, 2, 17) (dual of [(194, 2), 350, 18]-NRT-code), using extracting embedded OOA based on digital (21, 38, 194)-net over F₈, using

trace code for nets [i] based on digital (2, 19, 97)-net over F₆₄, using
- net from sequence [i] based on digital (2, 96)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 2 and N(F) ≥ 97, 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(8³⁹, 194, F₈, 2, 17) (dual of [(194, 2), 349, 18]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(8³⁸, 174, F₈, 3, 17) (dual of [(174, 3), 484, 18]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound