MinT - Information on Result #2728015

Information on Result #2728015

Linear OOA(5³⁹, 112, F₅, 3, 16) (dual of [(112, 3), 297, 17]-NRT-code), using 5¹ times duplication based on linear OOA(5³⁸, 112, F₅, 3, 16) (dual of [(112, 3), 298, 17]-NRT-code), using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(5³⁸, 112, F₅, 2, 16) (dual of [(112, 2), 186, 17]-NRT-code), using
- extracting embedded OOA [i] based on digital (22, 38, 112)-net over F₅, using
  - trace code for nets [i] based on digital (3, 19, 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.