MinT - Information on Result #1026645

Information on Result #1026645

Linear OOA(4²¹⁵, 81, F₄, 3, 143) (dual of [(81, 3), 28, 144]-NRT-code), using juxtaposition based on

linear OOA(4⁵⁶, 28, F₄, 3, 44) (dual of [(28, 3), 28, 45]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,39P) [i] based on function field F/F₄ with g(F) = 12 and N(F) ≥ 28, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4¹³¹, 53, F₄, 3, 98) (dual of [(53, 3), 28, 99]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹³¹, 55, F₄, 3, 98) (dual of [(55, 3), 34, 99]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,66P) [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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