MinT - Information on Result #1466697

Information on Result #1466697

Linear OOA(7¹⁰¹, 53, F₇, 2, 86) (dual of [(53, 2), 5, 87]-NRT-code), using juxtaposition based on

linear OOA(7²¹, 13, F₇, 2, 20) (dual of [(13, 2), 5, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,5P) [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(7⁷⁵, 40, F₇, 2, 65) (dual of [(40, 2), 5, 66]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(7³⁵, 20, F₇, 2, 32) (dual of [(20, 2), 5, 33]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₇ with g(F) = 3 and N(F) ≥ 20, using
    - fields by Serre with genus 3 or 4 [i]

Mode: Linear.

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