MinT - Information on Result #1027503

Information on Result #1027503

Linear OOA(4²²⁴, 76, F₄, 3, 193) (dual of [(76, 3), 4, 194]-NRT-code), using juxtaposition based on

linear OOA(4¹⁴, 6, F₄, 3, 13) (dual of [(6, 3), 4, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹⁴, 9, F₄, 3, 13) (dual of [(9, 3), 13, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,13P) [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(4²⁰⁶, 70, F₄, 3, 179) (dual of [(70, 3), 4, 180]-NRT-code), using
- repeating each code word 5 times [i] based on linear OOA(4³⁸, 14, F₄, 3, 35) (dual of [(14, 3), 4, 36]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;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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