MinT - Information on Result #2770287

Information on Result #2770287

Linear OOA(3¹²⁷, 34, F₃, 4, 102) (dual of [(34, 4), 9, 103]-NRT-code), using strength reduction based on linear OOA(3¹²⁷, 34, F₃, 4, 103) (dual of [(34, 4), 9, 104]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³¹, 10, F₃, 4, 28) (dual of [(10, 4), 9, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,11P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁸⁷, 24, F₃, 4, 74) (dual of [(24, 4), 9, 75]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,21P) [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.