MinT - Information on Result #642729

Information on Result #642729

Linear OA(32⁹⁷, 101, F₃₂, 90) (dual of [101, 4, 91]-code), using juxtaposition based on

linear OA(32²⁵, 29, F₃₂, 25) (dual of [29, 4, 26]-code or 29-arc in PG(24,32)), using
- discarding factors / shortening the dual code based on linear OA(32²⁵, 32, F₃₂, 25) (dual of [32, 7, 26]-code or 32-arc in PG(24,32)), using
  - Reedâ€“Solomon code RS(7,32) [i]
linear OA(32⁶⁸, 72, F₃₂, 64) (dual of [72, 4, 65]-code), using
- juxtaposition [i] based on
  1. linear OA(32²⁴, 28, F₃₂, 24) (dual of [28, 4, 25]-code or 28-arc in PG(23,32)), using
    - discarding factors / shortening the dual code based on linear OA(32²⁴, 32, F₃₂, 24) (dual of [32, 8, 25]-code or 32-arc in PG(23,32)), using
      - Reedâ€“Solomon code RS(8,32) [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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