MinT - Information on Result #3002196

Information on Result #3002196

Linear OOA(2²¹⁴, 113, F₂, 8, 69) (dual of [(113, 8), 690, 70]-NRT-code), using 2² times duplication based on linear OOA(2²¹², 113, F₂, 8, 69) (dual of [(113, 8), 692, 70]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(2²⁰⁴, 112, F₂, 8, 69) (dual of [(112, 8), 692, 70]-NRT-code), using
- extracting embedded OOA [i] based on digital (135, 204, 112)-net over F₂, using
  - trace code for nets [i] based on digital (33, 102, 56)-net over F₄, using
    - net from sequence [i] based on digital (33, 55)-sequence over F₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 33 and N(F) ≥ 56, using
        F₅ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [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

None.