MinT - Information on Result #2531142

Information on Result #2531142

Linear OOA(7¹⁰³, 54, F₇, 2, 87) (dual of [(54, 2), 5, 88]-NRT-code), using strength reduction based on linear OOA(7¹⁰³, 54, F₇, 2, 88) (dual of [(54, 2), 5, 89]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(7²⁷, 16, F₇, 2, 25) (dual of [(16, 2), 5, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,6P) [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(7⁷¹, 38, F₇, 2, 62) (dual of [(38, 2), 5, 63]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,13P) [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.