MinT - Information on Result #1466741

Information on Result #1466741

Linear OOA(8¹⁶⁰, 83, F₈, 2, 142) (dual of [(83, 2), 6, 143]-NRT-code), using juxtaposition based on

linear OOA(8³⁰, 18, F₈, 2, 28) (dual of [(18, 2), 6, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₈ with g(F) = 2 and N(F) ≥ 18, using
  - sharp bound on the number of rational points on curves with genus 2 [i]
linear OOA(8¹²⁴, 65, F₈, 2, 113) (dual of [(65, 2), 6, 114]-NRT-code), using
- standard lengthening with (d₀,â€¦,d₁)Â = (112,113) [i] based on linear OOA(8¹²², 64, F₈, 2, 111) (dual of [(64, 2), 6, 112]-NRT-code), using algebraic-geometric NRT-code AG(2;F,16P) 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: Linear.

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