MinT - Information on Result #906372

Information on Result #906372

Linear OOA(4⁶⁵, 39, F₄, 2, 41) (dual of [(39, 2), 13, 42]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4¹⁶, 13, F₄, 2, 13) (dual of [(13, 2), 10, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹⁶, 14, F₄, 2, 13) (dual of [(14, 2), 12, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,14P) [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(4²³, 13, F₄, 2, 20) (dual of [(13, 2), 3, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²³, 14, F₄, 2, 20) (dual of [(14, 2), 5, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14 (see above)
linear OOA(4²⁶, 13, F₄, 2, 26) (dual of [(13, 2), 0, 27]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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