MinT - Information on Result #1466853

Information on Result #1466853

Linear OOA(2²¹⁴, 125, F₂, 2, 95) (dual of [(125, 2), 36, 96]-NRT-code), using concatenation of two NRT-codes based on

linear OA(16¹⁶, 25, F₁₆, 15) (dual of [25, 9, 16]-code), using
- extended algebraic-geometric code AG_e(F,9P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 25, using
  - sharp bound on the number of rational points on curves with genus 1 [i]
linear OOA(2⁶, 5, F₂, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
  - an explicitly constructive algebraic function field [i]

Mode: Linear.

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