MinT - Information on Result #2510127

Information on Result #2510127

Linear OOA(8¹⁴³, 1027, F₈, 2, 42) (dual of [(1027, 2), 1911, 43]-NRT-code), using 8¹ times duplication based on linear OOA(8¹⁴², 1027, F₈, 2, 42) (dual of [(1027, 2), 1912, 43]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(8¹⁴⁰, 1026, F₈, 2, 42) (dual of [(1026, 2), 1912, 43]-NRT-code), using
- extracting embedded OOA [i] based on digital (98, 140, 1026)-net over F₈, using
  - trace code for nets [i] based on digital (28, 70, 513)-net over F₆₄, using
    - net from sequence [i] based on digital (28, 512)-sequence over F₆₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513, using
        the Hermitian function field over F₆₄ [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.