MinT - Information on Result #2819461

Information on Result #2819461

Linear OOA(256⁵¹, 642, F₂₅₆, 4, 31) (dual of [(642, 4), 2517, 32]-NRT-code), using 256¹ times duplication based on linear OOA(256⁵⁰, 642, F₂₅₆, 4, 31) (dual of [(642, 4), 2518, 32]-NRT-code), using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(256⁵⁰, 642, F₂₅₆, 3, 31) (dual of [(642, 3), 1876, 32]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256¹⁷, 321, F₂₅₆, 3, 15) (dual of [(321, 3), 946, 16]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,947P) [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, 3, 31) (dual of [(321, 3), 930, 32]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,931P) [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.