MinT - Information on Result #906284

Information on Result #906284

Linear OOA(4⁷⁹, 48, F₄, 2, 47) (dual of [(48, 2), 17, 48]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4¹⁴, 12, F₄, 2, 11) (dual of [(12, 2), 10, 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(4¹⁸, 12, F₄, 2, 15) (dual of [(12, 2), 6, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹⁸, 14, F₄, 2, 15) (dual of [(14, 2), 10, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,12P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14 (see above)
linear OOA(4²³, 12, F₄, 2, 23) (dual of [(12, 2), 1, 24]-NRT-code), using
- dual of repetition NRT-code with length 12 [i]
linear OOA(4²⁴, 12, F₄, 2, 24) (dual of [(12, 2), 0, 25]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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