MinT - Information on Result #909069

Information on Result #909069

Linear OOA(3⁵⁸, 33, F₃, 2, 36) (dual of [(33, 2), 8, 37]-NRT-code), using juxtaposition based on

linear OOA(3¹⁶, 12, F₃, 2, 12) (dual of [(12, 2), 8, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,11P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3³⁴, 21, F₃, 2, 23) (dual of [(21, 2), 8, 24]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁸, 7, F₃, 2, 7) (dual of [(7, 2), 6, 8]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,6P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3¹², 7, F₃, 2, 11) (dual of [(7, 2), 2, 12]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,2P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7 (see above)
  3. linear OOA(3¹⁴, 7, F₃, 2, 14) (dual of [(7, 2), 0, 15]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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