MinT - Information on Result #1466716

Information on Result #1466716

Linear OOA(7⁸⁰, 42, F₇, 2, 70) (dual of [(42, 2), 4, 71]-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(7⁵⁴, 29, F₇, 2, 48) (dual of [(29, 2), 4, 49]-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(7²⁸, 16, F₇, 2, 26) (dual of [(16, 2), 4, 27]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,5P) [i] based on function field F/F₇ with g(F) = 2 and N(F) ≥ 16, using
      - sharp bound on the number of rational points on curves with genus 2 [i]

Mode: Linear.

None.

None.