MinT - Information on Result #1465310

Information on Result #1465310

Linear OOA(256⁴⁹, 584, F₂₅₆, 2, 30) (dual of [(584, 2), 1119, 31]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(256⁴⁹, 584, F₂₅₆, 30) (dual of [584, 535, 31]-code), using

discarding factors / shortening the dual code based on linear OA(256⁴⁹, 642, F₂₅₆, 30) (dual of [642, 593, 31]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(256¹⁷, 321, F₂₅₆, 15) (dual of [321, 304, 16]-code), using
    - extended algebraic-geometric code AG_e(F,305P) [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(256³², 321, F₂₅₆, 30) (dual of [321, 289, 31]-code), using
    - extended algebraic-geometric code AG_e(F,290P) [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.