MinT - Information on Result #1551339

Information on Result #1551339

Linear OOA(7³⁵, 125, F₇, 3, 16) (dual of [(125, 3), 340, 17]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(7³⁵, 125, F₇, 2, 16) (dual of [(125, 2), 215, 17]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(7³⁵, 128, F₇, 2, 16) (dual of [(128, 2), 221, 17]-NRT-code), using
- 7¹ times duplication [i] based on linear OOA(7³⁴, 128, F₇, 2, 16) (dual of [(128, 2), 222, 17]-NRT-code), using
  - extracting embedded OOA [i] based on digital (18, 34, 128)-net over F₇, using
    - trace code for nets [i] based on digital (1, 17, 64)-net over F₄₉, using
      - net from sequence [i] based on digital (1, 63)-sequence over F₄₉, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄₉ with g(F) = 1 and N(F) ≥ 64, using
        sharp bound on the number of rational points on curves with genus 1 [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.