MinT - Information on Result #1021036

Information on Result #1021036

Linear OOA(3¹⁵², 63, F₃, 3, 77) (dual of [(63, 3), 37, 78]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3³⁸, 21, F₃, 3, 25) (dual of [(21, 3), 25, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3³⁸, 24, F₃, 3, 25) (dual of [(24, 3), 34, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,46P) [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(3⁵¹, 21, F₃, 3, 38) (dual of [(21, 3), 12, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵¹, 23, F₃, 3, 38) (dual of [(23, 3), 18, 39]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,30P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24 (see above)
linear OOA(3⁶³, 21, F₃, 3, 63) (dual of [(21, 3), 0, 64]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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