MinT - Information on Result #1020885

Information on Result #1020885

Linear OOA(3¹⁵³, 57, F₃, 3, 95) (dual of [(57, 3), 18, 96]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁴⁰, 19, F₃, 3, 31) (dual of [(19, 3), 17, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,25P) [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(3⁵⁶, 19, F₃, 3, 47) (dual of [(19, 3), 1, 48]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵⁶, 20, F₃, 3, 47) (dual of [(20, 3), 4, 48]-NRT-code), using
  - 3 step truncation [i] based on linear OOA(3⁵⁹, 21, F₃, 3, 50) (dual of [(21, 3), 4, 51]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(3¹⁷, 7, F₃, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,4P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
        an explicitly constructive algebraic function field [i]
linear OOA(3⁵⁷, 19, F₃, 3, 57) (dual of [(19, 3), 0, 58]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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