MinT - Information on Result #1317567

Information on Result #1317567

Linear OA(8¹⁷³, 178, F₈, 144) (dual of [178, 5, 145]-code), using juxtaposition based on

linear OA(8⁵⁷, 62, F₈, 48) (dual of [62, 5, 49]-code), using
- 3 times truncation [i] based on linear OA(8⁶⁰, 65, F₈, 51) (dual of [65, 5, 52]-code), using
  - constructionÂ X applied to AG(F,12P) âŠ‚ AG(F,13P) [i] based on
    1. linear OA(8⁶⁰, 64, F₈, 51) (dual of [64, 4, 52]-code), using algebraic-geometric code AG(F,12P) with known gap numbers [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F₈ [i]
    2. linear OA(8⁵⁹, 64, F₈, 50) (dual of [64, 5, 51]-code), using algebraic-geometric code AG(F,13P) with known gap numbers [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65 (see above)
    3. linear OA(8⁰, 1, F₈, 0) (dual of [1, 1, 1]-code), using
      - discarding factors / shortening the dual code based on linear OA(8⁰, s, F₈, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
        OA with only one run / dual of code without redundancy [i]
linear OA(8¹¹¹, 116, F₈, 95) (dual of [116, 5, 96]-code), using
- discarding factors / shortening the dual code based on linear OA(8¹¹¹, 117, F₈, 95) (dual of [117, 6, 96]-code), using
  - a â€œDaHâ€ code from Brouwerâ€™s database [i]

Mode: Linear.

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