MinT - Information on Result #910287

Information on Result #910287

Linear OOA(8¹⁴², 77, F₈, 2, 117) (dual of [(77, 2), 12, 118]-NRT-code), using juxtaposition based on

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]
linear OOA(8¹¹⁸, 65, F₈, 2, 105) (dual of [(65, 2), 12, 106]-NRT-code), using
- standard lengthening with (d₀,â€¦,d₁)Â = (104,105) [i] based on linear OOA(8¹¹⁶, 64, F₈, 2, 103) (dual of [(64, 2), 12, 104]-NRT-code), using algebraic-geometric NRT-code AG(2;F,24P) with known gap numbers [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F₈ [i]

Mode: Constructive and linear.

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