MinT - Information on Result #1013372

Information on Result #1013372

Linear OOA(5⁷², 272, F₅, 3, 19) (dual of [(272, 3), 744, 20]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(5¹⁴, 20, F₅, 3, 9) (dual of [(20, 3), 46, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,50P) [i] based on function field F/F₅ with g(F) = 5 and N(F) ≥ 20, using
  - an explicitly constructive algebraic function field [i]
linear OOA(5⁵⁸, 252, F₅, 3, 19) (dual of [(252, 3), 698, 20]-NRT-code), using
- extracting embedded OOA [i] based on digital (39, 58, 252)-net over F₅, using
  - trace code for nets [i] based on digital (10, 29, 126)-net over F₂₅, using
    - net from sequence [i] based on digital (10, 125)-sequence over F₂₅, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 10 and N(F) ≥ 126, using
        the Hermitian function field over F₂₅ [i]

Mode: Constructive and linear.

None.

None.