MinT - Information on Result #1014250

Information on Result #1014250

Linear OOA(8²⁶, 290, F₈, 3, 8) (dual of [(290, 3), 844, 9]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(8⁸, 130, F₈, 3, 4) (dual of [(130, 3), 382, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 8, 130)-net over F₈, using
  - trace code for nets [i] based on digital (0, 4, 65)-net over F₆₄, using
    - net from sequence [i] based on digital (0, 64)-sequence over F₆₄, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 0 and N(F) ≥ 65, using
        the rational function field F₆₄(x) [i]
      - Niederreiter sequence [i]
linear OOA(8¹⁸, 160, F₈, 3, 8) (dual of [(160, 3), 462, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 18, 160)-net over F₈, using
  - trace code for nets [i] based on digital (1, 9, 80)-net over F₆₄, using
    - net from sequence [i] based on digital (1, 79)-sequence over F₆₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
        a function field by SÃ©mirat [i]

Mode: Constructive and 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(8¹⁴⁸, 5592692, F₈, 3, 16) (dual of [(5592692, 3), 16777928, 17]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(8¹⁵⁶, 5592692, F₈, 3, 17) (dual of [(5592692, 3), 16777920, 18]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs