MinT - Information on Result #896791

Information on Result #896791

Linear OOA(8¹⁰¹, 400, F₈, 2, 31) (dual of [(400, 2), 699, 32]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(8²⁵, 46, F₈, 2, 15) (dual of [(46, 2), 67, 16]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 25, 46)-net over F₈, using
  - net from sequence [i] based on digital (10, 45)-sequence over F₈, using
    - Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₈ with g(F)Â =Â 9, N(F)Â =Â 45, and 1 place with degree 2 [i] based on function field F/F₈ with g(F) = 9 and N(F) ≥ 45, using an explicitly constructive algebraic function field [i]
linear OOA(8⁷⁶, 354, F₈, 2, 31) (dual of [(354, 2), 632, 32]-NRT-code), using
- extracting embedded OOA [i] based on digital (45, 76, 354)-net over F₈, using
  - trace code for nets [i] based on digital (7, 38, 177)-net over F₆₄, using
    - net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
        a function field by GarcÃa and Quoos [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(8¹⁰¹, 200, F₈, 3, 31) (dual of [(200, 3), 499, 32]-NRT-code)	[i]		OOA Folding