MinT - Information on Result #1027746

Information on Result #1027746

Linear OOA(8¹⁷⁰, 58, F₈, 3, 157) (dual of [(58, 3), 4, 158]-NRT-code), using juxtaposition based on

linear OOA(8²⁶, 10, F₈, 3, 25) (dual of [(10, 3), 4, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8²⁶, 14, F₈, 3, 25) (dual of [(14, 3), 16, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;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]
linear OOA(8¹⁴⁰, 48, F₈, 3, 131) (dual of [(48, 3), 4, 132]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(8⁶⁸, 24, F₈, 3, 65) (dual of [(24, 3), 4, 66]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₈ with g(F) = 3 and N(F) ≥ 24, using
    - the Klein quartic over F₈ [i]

Mode: Constructive and linear.

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