MinT - Information on Result #898271

Information on Result #898271

Linear OOA(16²⁹, 634, F₁₆, 2, 11) (dual of [(634, 2), 1239, 12]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(16⁷, 120, F₁₆, 2, 5) (dual of [(120, 2), 233, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(16⁷, 240, F₁₆, 5) (dual of [240, 233, 6]-code), using
  - discarding factors / shortening the dual code based on linear OA(16⁷, 241, F₁₆, 5) (dual of [241, 234, 6]-code), using
    - a code by Danev and Olsson [i]
linear OOA(16²², 514, F₁₆, 2, 11) (dual of [(514, 2), 1006, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 22, 514)-net over F₁₆, using
  - trace code for nets [i] based on digital (0, 11, 257)-net over F₂₅₆, using
    - net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
        the rational function field F₂₅₆(x) [i]
      - Niederreiter sequence [i]

Mode: Constructive and linear.

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