MinT - Information on Result #1465444

Information on Result #1465444

Linear OOA(256⁶¹, 563, F₂₅₆, 2, 38) (dual of [(563, 2), 1065, 39]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(256⁶¹, 563, F₂₅₆, 38) (dual of [563, 502, 39]-code), using

discarding factors / shortening the dual code based on linear OA(256⁶¹, 642, F₂₅₆, 38) (dual of [642, 581, 39]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(256²¹, 321, F₂₅₆, 19) (dual of [321, 300, 20]-code), using
    - extended algebraic-geometric code AG_e(F,301P) [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 OA(256⁴⁰, 321, F₂₅₆, 38) (dual of [321, 281, 39]-code), using
    - extended algebraic-geometric code AG_e(F,282P) [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.