MinT - Information on Result #909105

Information on Result #909105

Linear OOA(3¹⁷⁷, 92, F₃, 2, 116) (dual of [(92, 2), 7, 117]-NRT-code), using juxtaposition based on

linear OOA(3⁶⁵, 36, F₃, 2, 44) (dual of [(36, 2), 7, 45]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(3¹⁸, 12, F₃, 2, 14) (dual of [(12, 2), 6, 15]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,9P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3²³, 12, F₃, 2, 22) (dual of [(12, 2), 1, 23]-NRT-code), using
    - strength reduction [i] based on linear OOA(3²³, 12, F₃, 2, 23) (dual of [(12, 2), 1, 24]-NRT-code), using
      - dual of repetition NRT-code with length 12 [i]
  3. linear OOA(3²⁴, 12, F₃, 2, 24) (dual of [(12, 2), 0, 25]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
linear OOA(3¹⁰⁵, 56, F₃, 2, 71) (dual of [(56, 2), 7, 72]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3¹⁰⁵, 112, F₃, 71) (dual of [112, 7, 72]-code), using
  - codes obtained from BCH codes, concatenation and constructionÂ X [i]

Mode: Constructive and linear.

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