MinT - Information on Result #2531097

Information on Result #2531097

Linear OOA(7⁹⁵, 51, F₇, 2, 78) (dual of [(51, 2), 7, 79]-NRT-code), using strength reduction based on linear OOA(7⁹⁵, 51, F₇, 2, 79) (dual of [(51, 2), 7, 80]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(7¹⁹, 13, F₇, 2, 18) (dual of [(13, 2), 7, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,7P) [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]
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.