MinT - Information on Result #2680292

Information on Result #2680292

Linear OOA(3¹⁰⁹, 57, F₃, 3, 51) (dual of [(57, 3), 62, 52]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3¹⁰⁶, 56, F₃, 3, 51) (dual of [(56, 3), 62, 52]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁴⁰, 28, F₃, 3, 25) (dual of [(28, 3), 44, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,58P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁶⁶, 28, F₃, 3, 51) (dual of [(28, 3), 18, 52]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,32P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)

Mode: Constructive and 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.