MinT - Information on Result #661662

Information on Result #661662

Linear OA(9¹¹⁷, 121, F₉, 102) (dual of [121, 4, 103]-code), using juxtaposition based on

linear OA(9²⁵, 29, F₉, 22) (dual of [29, 4, 23]-code), using
- constructionÂ X applied to AG(F,4P) âŠ‚ AG(F,6P) [i] based on
  1. linear OA(9²⁴, 27, F₉, 22) (dual of [27, 3, 23]-code), using algebraic-geometric code AG(F,4P) with known gap numbers [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using the Hermitian function field over F₉ [i]
  2. linear OA(9²³, 27, F₉, 20) (dual of [27, 4, 21]-code), using algebraic-geometric code AG(F,6P) [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28 (see above)
  3. linear OA(9¹, 2, F₉, 1) (dual of [2, 1, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(9¹, s, F₉, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [i]
linear OA(9⁸⁸, 92, F₉, 79) (dual of [92, 4, 80]-code), using
- constructionÂ X applied to C₁ âŠ‚ C₂ with C₁ a [82,1,81]-code [i] based on
  1. linear OA(9⁷⁸, 82, F₉, 71) (dual of [82, 4, 72]-code), using projective code from ovoid in PG(3,Â 9) [i]
  2. linear OA(9⁷, 10, F₉, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,9)), using
    - extended Reedâ€“Solomon code RS_e(3,9) [i]

Mode: Constructive and linear.

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