MinT - Information on Result #1049592

Information on Result #1049592

Linear OOA(4²⁵⁸, 92, F₄, 3, 186) (dual of [(92, 3), 18, 187]-NRT-code), using juxtaposition based on

linear OOA(4⁷⁸, 32, F₄, 3, 63) (dual of [(32, 3), 18, 64]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,32P) [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4¹⁶², 60, F₄, 3, 122) (dual of [(60, 3), 18, 123]-NRT-code), using
- constructionÂ X applied to AG(3;F,42P) âŠ‚ AG(3;F,50P) [i] based on
  1. linear OOA(4¹⁵⁵, 55, F₄, 3, 122) (dual of [(55, 3), 10, 123]-NRT-code), using algebraic-geometric NRT-code AG(3;F,42P) [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]
  2. linear OOA(4¹⁴⁷, 55, F₄, 3, 114) (dual of [(55, 3), 18, 115]-NRT-code), using algebraic-geometric NRT-code AG(3;F,50P) [i] based on function field F/F₄ with g(F) = 33 and N(F) ≥ 56 (see above)
  3. linear OOA(4⁷, 5, F₄, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(3;8,4) [i]

Mode: Constructive and linear.

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