MinT - Information on Result #909638

Information on Result #909638

Linear OOA(4¹⁸⁴, 95, F₄, 2, 137) (dual of [(95, 2), 6, 138]-NRT-code), using juxtaposition based on

linear OOA(4¹⁶, 11, F₄, 2, 13) (dual of [(11, 2), 6, 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(4¹⁶², 84, F₄, 2, 123) (dual of [(84, 2), 6, 124]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(4³⁷, 21, F₄, 2, 30) (dual of [(21, 2), 5, 31]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,11P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(4⁴¹, 21, F₄, 2, 41) (dual of [(21, 2), 1, 42]-NRT-code), using
    - dual of repetition NRT-code with length 21 [i]
  3. linear OOA(4⁴², 21, F₄, 2, 42) (dual of [(21, 2), 0, 43]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
  4. linear OOA(4⁴², 21, F₄, 2, 42) (dual of [(21, 2), 0, 43]-NRT-code) (see above)

Mode: Constructive and linear.

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