MinT - Information on Result #2771316

Information on Result #2771316

Linear OOA(3¹⁵³, 40, F₃, 4, 127) (dual of [(40, 4), 7, 128]-NRT-code), using strength reduction based on linear OOA(3¹⁵³, 40, F₃, 4, 128) (dual of [(40, 4), 7, 129]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴¹, 12, F₃, 4, 37) (dual of [(12, 4), 7, 38]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,10P) [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(3¹⁰⁵, 28, F₃, 4, 90) (dual of [(28, 4), 7, 91]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,21P) [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.