MinT - Information on Result #1297396

Information on Result #1297396

Linear OA(2²¹⁶, 233, F₂, 94) (dual of [233, 17, 95]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(2¹⁹⁹, 215, F₂, 94) (dual of [215, 16, 95]-code), using
- 1 times truncation [i] based on linear OA(2²⁰⁰, 216, F₂, 95) (dual of [216, 16, 96]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(4⁶⁴, 72, F₄, 47) (dual of [72, 8, 48]-code), using
      - BCH codes lengthened with UEP codes [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(2¹⁹⁹, 216, F₂, 77) (dual of [216, 17, 78]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 2¹⁹⁹Â > V_b^sâˆ’1(kâˆ’1)Â = 545741 872721 358496 448903 231717 924672 069632 180414 676172 429002 [i]
linear OA(2¹⁶, 17, F₂, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,2)), using
- dual of repetition code with length 17 [i]

Mode: Linear.

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