MinT - Information on Result #2771326

Information on Result #2771326

Linear OOA(3¹⁵³, 43, F₃, 4, 112) (dual of [(43, 4), 19, 113]-NRT-code), using strength reduction based on linear OOA(3¹⁵³, 43, F₃, 4, 113) (dual of [(43, 4), 19, 114]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁵⁷, 19, F₃, 4, 48) (dual of [(19, 4), 19, 49]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,27P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁷⁷, 24, F₃, 4, 64) (dual of [(24, 4), 19, 65]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,31P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [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.