MinT - Information on Result #1466711

Information on Result #1466711

Linear OOA(7⁶⁸, 36, F₇, 2, 60) (dual of [(36, 2), 4, 61]-NRT-code), using juxtaposition based on

linear OOA(7²⁰, 12, F₇, 2, 19) (dual of [(12, 2), 4, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7²⁰, 13, F₇, 2, 19) (dual of [(13, 2), 6, 20]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,6P) [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(7⁴⁴, 24, F₇, 2, 40) (dual of [(24, 2), 4, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₇ with g(F) = 4 and N(F) ≥ 24, using
  - an algebraic function field over â„¤₇ by Yeo [i]

Mode: Linear.

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