MinT - Information on Result #1466717

Information on Result #1466717

Linear OOA(7⁹⁶, 50, F₇, 2, 84) (dual of [(50, 2), 4, 85]-NRT-code), using juxtaposition based on

linear OOA(7²², 13, F₇, 2, 21) (dual of [(13, 2), 4, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,4P) [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(7⁷⁰, 37, F₇, 2, 62) (dual of [(37, 2), 4, 63]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(7²², 13, F₇, 2, 21) (dual of [(13, 2), 4, 22]-NRT-code) (see above)
  2. 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.

None.

None.