MinT - Information on Result #1810896

Information on Result #1810896

Digital (5, 14, 146)-net over F₆₄, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(64¹⁴, 146, F₆₄, 2, 9) (dual of [(146, 2), 278, 10]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(64⁴, 65, F₆₄, 2, 4) (dual of [(65, 2), 126, 5]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;126,64) [i]
2. linear OOA(64¹⁰, 81, F₆₄, 2, 9) (dual of [(81, 2), 152, 10]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,152P) [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 81, 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, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.