MinT - Information on Result #2509200

Information on Result #2509200

Linear OOA(8⁵², 209, F₈, 2, 22) (dual of [(209, 2), 366, 23]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(8⁵⁰, 208, F₈, 2, 22) (dual of [(208, 2), 366, 23]-NRT-code), using

extracting embedded OOA [i] based on digital (28, 50, 208)-net over F₈, using
- trace code for nets [i] based on digital (3, 25, 104)-net over F₆₄, using
  - net from sequence [i] based on digital (3, 103)-sequence over F₆₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 3 and N(F) ≥ 104, 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(8⁵³, 209, F₈, 2, 22) (dual of [(209, 2), 365, 23]-NRT-code)	[i]		OOA Duplication