MinT - Information on Result #981610

Information on Result #981610

Linear OOA(8¹⁵¹, 256, F₈, 3, 48) (dual of [(256, 3), 617, 49]-NRT-code), using OOA 2-folding based on linear OOA(8¹⁵¹, 512, F₈, 2, 48) (dual of [(512, 2), 873, 49]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(8¹⁵¹, 513, F₈, 2, 48) (dual of [(513, 2), 875, 49]-NRT-code), using
- extracting embedded OOA [i] based on digital (103, 151, 513)-net over F₈, using
  - base reduction for projective spaces (embedding PG(75,64) in PG(150,8)) for nets [i] based on digital (28, 76, 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.