MinT - Information on Result #1026716

Information on Result #1026716

Linear OOA(4²⁰⁵, 76, F₄, 3, 140) (dual of [(76, 3), 23, 141]-NRT-code), using juxtaposition based on

linear OOA(4⁴⁶, 23, F₄, 3, 36) (dual of [(23, 3), 23, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁴⁶, 26, F₄, 3, 36) (dual of [(26, 3), 32, 37]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,41P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4¹³⁶, 53, F₄, 3, 103) (dual of [(53, 3), 23, 104]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹³⁶, 55, F₄, 3, 103) (dual of [(55, 3), 29, 104]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,61P) [i] based on function field F/F₄ with g(F) = 33 and N(F) ≥ 56, using
    - F₅ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [i]

Mode: Constructive and linear.

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None.