MinT - Information on Result #2771275

Information on Result #2771275

Linear OOA(3¹⁵², 40, F₃, 4, 125) (dual of [(40, 4), 8, 126]-NRT-code), using strength reduction based on linear OOA(3¹⁵², 40, F₃, 4, 126) (dual of [(40, 4), 8, 127]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴⁰, 12, F₃, 4, 36) (dual of [(12, 4), 8, 37]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,11P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁰⁴, 28, F₃, 4, 89) (dual of [(28, 4), 8, 90]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,22P) [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.