MinT - Information on Result #909866

Information on Result #909866

Linear OOA(4¹⁷², 88, F₄, 2, 137) (dual of [(88, 2), 4, 138]-NRT-code), using juxtaposition based on

linear OOA(4¹⁴, 9, F₄, 2, 13) (dual of [(9, 2), 4, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,4P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
  - the Hermitian function field over F₄ [i]
linear OOA(4¹⁵⁴, 79, F₄, 2, 123) (dual of [(79, 2), 4, 124]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4¹⁴, 9, F₄, 2, 13) (dual of [(9, 2), 4, 14]-NRT-code) (see above)
  2. linear OOA(4¹³⁶, 70, F₄, 2, 109) (dual of [(70, 2), 4, 110]-NRT-code), using
    - repeating each code word 5 times [i] based on linear OOA(4²⁴, 14, F₄, 2, 21) (dual of [(14, 2), 4, 22]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,6P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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None.