MinT - Information on Result #909610

Information on Result #909610

Linear OOA(4¹¹⁸, 62, F₄, 2, 89) (dual of [(62, 2), 6, 90]-NRT-code), using juxtaposition based on

linear OOA(4⁶, 6, F₄, 2, 5) (dual of [(6, 2), 6, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4⁶, 12, F₄, 5) (dual of [12, 6, 6]-code), using
  - extended quadratic residue code Q_e(12,4) [i]
linear OOA(4¹⁰⁶, 56, F₄, 2, 83) (dual of [(56, 2), 6, 84]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. 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, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(4²⁷, 14, F₄, 2, 27) (dual of [(14, 2), 1, 28]-NRT-code), using
    - dual of repetition NRT-code with length 14 [i]
  3. linear OOA(4²⁸, 14, F₄, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
  4. linear OOA(4²⁸, 14, F₄, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code) (see above)

Mode: Constructive and linear.

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