MinT - Information on Result #2769700

Information on Result #2769700

Linear OOA(3¹⁰⁷, 52, F₃, 4, 52) (dual of [(52, 4), 101, 53]-NRT-code), using strength reduction based on linear OOA(3¹⁰⁷, 52, F₃, 4, 53) (dual of [(52, 4), 101, 54]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3³⁹, 24, F₃, 4, 26) (dual of [(24, 4), 57, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,69P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [i]
2. linear OOA(3⁶⁸, 28, F₃, 4, 53) (dual of [(28, 4), 44, 54]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;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]

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.