MinT - Information on Result #1042541

Information on Result #1042541

Linear OOA(8¹³⁰, 111, F₈, 3, 72) (dual of [(111, 3), 203, 73]-NRT-code), using constructionÂ X applied to AG(3;F,218P) âŠ‚ AG(3;F,239P) based on

linear OOA(8¹⁰⁹, 97, F₈, 3, 72) (dual of [(97, 3), 182, 73]-NRT-code), using algebraic-geometric NRT-code AG(3;F,218P) [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(8⁸⁸, 97, F₈, 3, 51) (dual of [(97, 3), 203, 52]-NRT-code), using algebraic-geometric NRT-code AG(3;F,239P) [i] based on function field F/F₈ with g(F) = 37 and N(F) ≥ 98 (see above)
linear OOA(8²¹, 14, F₈, 3, 20) (dual of [(14, 3), 21, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,21P) [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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