MinT - Information on Result #906302

Information on Result #906302

Linear OOA(4⁶⁶, 43, F₄, 2, 35) (dual of [(43, 2), 20, 36]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4¹⁰, 10, F₄, 2, 8) (dual of [(10, 2), 10, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,11P) [i] based on function field F/F₄ with g(F) = 2 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4¹⁴, 11, F₄, 2, 11) (dual of [(11, 2), 8, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹⁴, 14, F₄, 2, 11) (dual of [(14, 2), 14, 12]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,16P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4²⁰, 11, F₄, 2, 17) (dual of [(11, 2), 2, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²⁰, 14, F₄, 2, 17) (dual of [(14, 2), 8, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,10P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14 (see above)
linear OOA(4²², 11, F₄, 2, 22) (dual of [(11, 2), 0, 23]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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