MinT - Information on Result #910282

Information on Result #910282

Linear OOA(8¹³², 72, F₈, 2, 107) (dual of [(72, 2), 12, 108]-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(8¹⁰⁸, 60, F₈, 2, 95) (dual of [(60, 2), 12, 96]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8¹⁰⁸, 61, F₈, 2, 95) (dual of [(61, 2), 14, 96]-NRT-code), using
  - 8 step truncation [i] based on linear OOA(8¹¹⁶, 65, F₈, 2, 103) (dual of [(65, 2), 14, 104]-NRT-code), using
    - standard lengthening with (d₀,â€¦,d₁)Â = (102,103) [i] based on linear OOA(8¹¹⁴, 64, F₈, 2, 101) (dual of [(64, 2), 14, 102]-NRT-code), using algebraic-geometric NRT-code AG(2;F,26P) 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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