MinT - Information on Result #642735

Information on Result #642735

Linear OA(32¹⁰¹, 105, F₃₂, 94) (dual of [105, 4, 95]-code), using juxtaposition based on

linear OA(32²⁷, 31, F₃₂, 27) (dual of [31, 4, 28]-code or 31-arc in PG(26,32)), using
- discarding factors / shortening the dual code based on linear OA(32²⁷, 32, F₃₂, 27) (dual of [32, 5, 28]-code or 32-arc in PG(26,32)), using
  - Reedâ€“Solomon code RS(5,32) [i]
linear OA(32⁷⁰, 74, F₃₂, 66) (dual of [74, 4, 67]-code), using
- juxtaposition [i] based on
  1. linear OA(32²⁶, 30, F₃₂, 26) (dual of [30, 4, 27]-code or 30-arc in PG(25,32)), using
    - discarding factors / shortening the dual code based on linear OA(32²⁶, 32, F₃₂, 26) (dual of [32, 6, 27]-code or 32-arc in PG(25,32)), using
      - Reedâ€“Solomon code RS(6,32) [i]
  2. linear OA(32⁴⁰, 44, F₃₂, 39) (dual of [44, 4, 40]-code), using
    - extended algebraic-geometric code AG_e(F,4P) [i] based on function field F/F₃₂ with g(F) = 1 and N(F) ≥ 44, using
      - a function field by SÃ©mirat [i]

Mode: Constructive and linear.

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