MinT - Information on Result #661805

Information on Result #661805

Linear OA(2⁸⁷, 96, F₂, 43) (dual of [96, 9, 44]-code), using (u,Â u+v)-construction based on

linear OA(2⁴⁰, 48, F₂, 21) (dual of [48, 8, 22]-code), using
- concatenation of two codes [i] based on
  1. linear OA(4¹², 16, F₄, 10) (dual of [16, 4, 11]-code), using
    - 1 times truncation [i] based on linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using
      - projective code from ovoid in PG(3,Â 4) [i]
  2. linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 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]
linear OA(2⁴⁷, 48, F₂, 43) (dual of [48, 1, 44]-code), using
- strength reduction [i] based on linear OA(2⁴⁷, 48, F₂, 47) (dual of [48, 1, 48]-code or 48-arc in PG(46,2)), using
  - dual of repetition code with length 48 [i]

Mode: Constructive and linear.

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