MinT - Information on Result #1567511

Information on Result #1567511

Linear OOA(256⁵⁰, 582, F₂₅₆, 3, 31) (dual of [(582, 3), 1696, 32]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(256⁵⁰, 582, F₂₅₆, 2, 31) (dual of [(582, 2), 1114, 32]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(256⁵⁰, 642, F₂₅₆, 2, 31) (dual of [(642, 2), 1234, 32]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256¹⁷, 321, F₂₅₆, 2, 15) (dual of [(321, 2), 625, 16]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,626P) [i] based on function field F/F₂₅₆ with g(F) = 2 and N(F) ≥ 321, using
      - sharp bound on the number of rational points on curves with genus 2 [i]
  2. linear OOA(256³³, 321, F₂₅₆, 2, 31) (dual of [(321, 2), 609, 32]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,610P) [i] based on function field F/F₂₅₆ with g(F) = 2 and N(F) ≥ 321 (see above)

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.