MinT - Information on Result #924277

Information on Result #924277

Linear OOA(8¹¹⁴, 109, F₈, 2, 65) (dual of [(109, 2), 104, 66]-NRT-code), using constructionÂ X applied to AG(2;F,128P) âŠ‚ AG(2;F,140P) based on

linear OOA(8¹⁰², 97, F₈, 2, 65) (dual of [(97, 2), 92, 66]-NRT-code), using algebraic-geometric NRT-code AG(2;F,128P) [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(8⁹⁰, 97, F₈, 2, 53) (dual of [(97, 2), 104, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,140P) [i] based on function field F/F₈ with g(F) = 37 and N(F) ≥ 98 (see above)
linear OOA(8¹², 12, F₈, 2, 11) (dual of [(12, 2), 12, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8¹², 14, F₈, 2, 11) (dual of [(14, 2), 16, 12]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,16P) [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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