MinT - Information on Result #1020828

Information on Result #1020828

Linear OOA(3¹⁴³, 51, F₃, 3, 101) (dual of [(51, 3), 10, 102]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁴², 17, F₃, 3, 33) (dual of [(17, 3), 9, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁴², 19, F₃, 3, 33) (dual of [(19, 3), 15, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3⁵⁰, 17, F₃, 3, 50) (dual of [(17, 3), 1, 51]-NRT-code), using
- dual of repetition NRT-code with length 17 [i]
linear OOA(3⁵¹, 17, F₃, 3, 51) (dual of [(17, 3), 0, 52]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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