MinT - Information on Result #1553985

Information on Result #1553985

Linear OOA(8⁵³, 181, F₈, 3, 24) (dual of [(181, 3), 490, 25]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(8⁵³, 181, F₈, 2, 24) (dual of [(181, 2), 309, 25]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(8⁵³, 194, F₈, 2, 24) (dual of [(194, 2), 335, 25]-NRT-code), using
- 8¹ times duplication [i] based on linear OOA(8⁵², 194, F₈, 2, 24) (dual of [(194, 2), 336, 25]-NRT-code), using
  - extracting embedded OOA [i] based on digital (28, 52, 194)-net over F₈, using
    - trace code for nets [i] based on digital (2, 26, 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

None.