MinT - Information on Result #1657269

Information on Result #1657269

Linear OOA(256¹⁶, 545, F₂₅₆, 6, 10) (dual of [(545, 6), 3254, 11]-NRT-code), using OOA stacking with additional row based on linear OOA(256¹⁶, 546, F₂₅₆, 5, 10) (dual of [(546, 5), 2714, 11]-NRT-code), using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(256¹⁶, 546, F₂₅₆, 2, 10) (dual of [(546, 2), 1076, 11]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256⁵, 257, F₂₅₆, 2, 5) (dual of [(257, 2), 509, 6]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;509,256) [i]
  2. linear OOA(256¹¹, 289, F₂₅₆, 2, 10) (dual of [(289, 2), 567, 11]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,567P) [i] based on function field F/F₂₅₆ with g(F) = 1 and N(F) ≥ 289, using
      - sharp bound on the number of rational points on curves with genus 1 [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.