MinT - Information on Result #1466667

Information on Result #1466667

Linear OOA(7⁹³, 50, F₇, 2, 77) (dual of [(50, 2), 7, 78]-NRT-code), using juxtaposition based on

linear OOA(7¹⁷, 12, F₇, 2, 16) (dual of [(12, 2), 7, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7¹⁷, 13, F₇, 2, 16) (dual of [(13, 2), 9, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,9P) [i] based on function field F/F₇ with g(F) = 1 and N(F) ≥ 13, using
    - sharp bound on the number of rational points on curves with genus 1 [i]
linear OOA(7⁶⁹, 38, F₇, 2, 60) (dual of [(38, 2), 7, 61]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,15P) [i] based on function field F/F₇ with g(F) = 9 and N(F) ≥ 38, using
  - an algebraic function field over â„¤₇ by Yeo [i]

Mode: Linear.

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