MinT - Information on Result #1303370

Information on Result #1303370

Linear OA(9¹⁰³, 116, F₉, 75) (dual of [116, 13, 76]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(9¹⁰², 114, F₉, 75) (dual of [114, 12, 76]-code), using
- constructionÂ X with VarÅ¡amov bound [i] based on
  1. linear OA(9¹⁰⁰, 111, F₉, 75) (dual of [111, 11, 76]-code), using
    - 11 times truncation [i] based on linear OA(9¹¹¹, 122, F₉, 86) (dual of [122, 11, 87]-code), using
      - a cyclic, quasi-cyclic, or quasi-twisted code by Daskalov, Hristov, and Metodieva [i]
  2. linear OA(9¹⁰⁰, 112, F₉, 73) (dual of [112, 12, 74]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 9¹⁰⁰Â > V_b^sâˆ’1(kâˆ’1)Â = 191207 137569 666755 036239 510798 200918 438729 322026 542854 171157 496631 427855 329826 000299 355211 904953 [i]
  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(9¹⁰², 115, F₉, 74) (dual of [115, 13, 75]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 9¹⁰²Â > V_b^sâˆ’1(kâˆ’1)Â = 18 258552 692764 572215 101364 071559 961867 167876 203473 398649 674264 537689 421489 285179 193941 238398 037457 [i]
linear OA(9⁰, 1, F₉, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(9⁰, s, F₉, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
  - OA with only one run / dual of code without redundancy [i]

Mode: Linear.

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