MinT - Information on Result #2536080

Information on Result #2536080

Linear OOA(2¹¹⁵, 75, F₂, 2, 47) (dual of [(75, 2), 35, 48]-NRT-code), using 2¹ times duplication based on linear OOA(2¹¹⁴, 75, F₂, 2, 47) (dual of [(75, 2), 36, 48]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(16¹⁶, 25, F₁₆, 15) (dual of [25, 9, 16]-code), using
  - extended algebraic-geometric code AG_e(F,9P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 25, using
    - sharp bound on the number of rational points on curves with genus 1 [i]
2. linear OOA(2², 3, F₂, 2, 2) (dual of [(3, 2), 4, 3]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;4,2) [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.