MinT - Information on Result #1084431

Information on Result #1084431

Linear OOA(3²⁴³, 76, F₃, 4, 134) (dual of [(76, 4), 61, 135]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁵⁷, 24, F₃, 4, 44) (dual of [(24, 4), 39, 45]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,51P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
  - a function field by SÃ©mirat [i]
linear OOA(3⁸², 26, F₃, 4, 67) (dual of [(26, 4), 22, 68]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁸², 28, F₃, 4, 67) (dual of [(28, 4), 30, 68]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,44P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁰⁴, 26, F₃, 4, 104) (dual of [(26, 4), 0, 105]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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