MinT - Information on Result #1042463

Information on Result #1042463

Linear OOA(8¹⁶¹, 110, F₈, 3, 104) (dual of [(110, 3), 169, 105]-NRT-code), using constructionÂ X applied to AG(3;F,186P) âŠ‚ AG(3;F,206P) based on

linear OOA(8¹⁴¹, 97, F₈, 3, 104) (dual of [(97, 3), 150, 105]-NRT-code), using algebraic-geometric NRT-code AG(3;F,186P) [i] based on function field F/F₈ with g(F) = 37 and N(F) ≥ 98, using
- F₅ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]
linear OOA(8¹²¹, 97, F₈, 3, 84) (dual of [(97, 3), 170, 85]-NRT-code), using algebraic-geometric NRT-code AG(3;F,206P) [i] based on function field F/F₈ with g(F) = 37 and N(F) ≥ 98 (see above)
linear OOA(8²⁰, 13, F₈, 3, 19) (dual of [(13, 3), 19, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8²⁰, 14, F₈, 3, 19) (dual of [(14, 3), 22, 20]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,22P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14, using
    - F₂ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]

Mode: Constructive and linear.

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