MinT - Information on Result #2531132

Information on Result #2531132

Linear OOA(7¹⁰¹, 54, F₇, 2, 83) (dual of [(54, 2), 7, 84]-NRT-code), using strength reduction based on linear OOA(7¹⁰¹, 54, F₇, 2, 84) (dual of [(54, 2), 7, 85]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(7²⁵, 16, F₇, 2, 23) (dual of [(16, 2), 7, 24]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,8P) [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]
2. 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.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.