MinT - Information on Result #2800176

Information on Result #2800176

Linear OOA(3¹⁷⁷, 689, F₃, 4, 36) (dual of [(689, 4), 2579, 37]-NRT-code), using 3¹ times duplication based on linear OOA(3¹⁷⁶, 689, F₃, 4, 36) (dual of [(689, 4), 2580, 37]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(3¹⁷², 688, F₃, 4, 36) (dual of [(688, 4), 2580, 37]-NRT-code), using
- extracting embedded OOA [i] based on digital (136, 172, 688)-net over F₃, using
  - trace code for nets [i] based on digital (7, 43, 172)-net over F₈₁, using
    - net from sequence [i] based on digital (7, 171)-sequence over F₈₁, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 7 and N(F) ≥ 172, 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

None.