MinT - Information on Result #661488

Information on Result #661488

Linear OA(2¹⁵¹, 276, F₂, 39) (dual of [276, 125, 40]-code), using concatenation of two codes based on

linear OA(32²¹, 46, F₃₂, 19) (dual of [46, 25, 20]-code), using
- constructionÂ X applied to AG(F,23P) âŠ‚ AG(F,25P) [i] based on
  1. linear OA(32²⁰, 43, F₃₂, 19) (dual of [43, 23, 20]-code), using algebraic-geometric code AG(F,23P) [i] based on function field F/F₃₂ with g(F) = 1 and N(F) ≥ 44, using
    - a function field by SÃ©mirat [i]
  2. linear OA(32¹⁸, 43, F₃₂, 17) (dual of [43, 25, 18]-code), using algebraic-geometric code AG(F,25P) [i] based on function field F/F₃₂ with g(F) = 1 and N(F) ≥ 44 (see above)
  3. linear OA(32¹, 3, F₃₂, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(32¹, s, F₃₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [i]
linear OA(2¹, 6, F₂, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
  - parity-check code [i]

Mode: Constructive and linear.

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