MinT - Information on Result #1547778

Information on Result #1547778

Linear OOA(5⁷⁰, 109, F₅, 3, 32) (dual of [(109, 3), 257, 33]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(5⁷⁰, 109, F₅, 2, 32) (dual of [(109, 2), 148, 33]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(5⁷⁰, 112, F₅, 2, 32) (dual of [(112, 2), 154, 33]-NRT-code), using
- extracting embedded OOA [i] based on digital (38, 70, 112)-net over F₅, using
  - trace code for nets [i] based on digital (3, 35, 56)-net over F₂₅, using
    - net from sequence [i] based on digital (3, 55)-sequence over F₂₅, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 3 and N(F) ≥ 56, using
        fields by Serre with genus 3 or 4 [i]

Mode: 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.