MinT - Information on Result #2538589

Information on Result #2538589

Linear OOA(8⁴⁹, 194, F₈, 2, 22) (dual of [(194, 2), 339, 23]-NRT-code), using 8¹ times duplication based on linear OOA(8⁴⁸, 194, F₈, 2, 22) (dual of [(194, 2), 340, 23]-NRT-code), using

extracting embedded OOA [i] based on digital (26, 48, 194)-net over F₈, using
- trace code for nets [i] based on digital (2, 24, 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(8⁴⁹, 183, F₈, 3, 22) (dual of [(183, 3), 500, 23]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound