MinT - Information on Result #1021257

Information on Result #1021257

Linear OOA(4¹⁹⁷, 72, F₄, 3, 131) (dual of [(72, 3), 19, 132]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4³⁹, 18, F₄, 3, 32) (dual of [(18, 3), 15, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4³⁹, 21, F₄, 3, 32) (dual of [(21, 3), 24, 33]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,30P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4⁵⁰, 18, F₄, 3, 43) (dual of [(18, 3), 4, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁵⁰, 21, F₄, 3, 43) (dual of [(21, 3), 13, 44]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,19P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21 (see above)
linear OOA(4⁵⁴, 18, F₄, 3, 54) (dual of [(18, 3), 0, 55]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(4⁵⁴, 18, F₄, 3, 54) (dual of [(18, 3), 0, 55]-NRT-code) (see above)

Mode: Constructive and linear.

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