MinT - Information on Result #2632391

Information on Result #2632391

Linear OOA(4¹⁶¹, 57, F₄, 3, 126) (dual of [(57, 3), 10, 127]-NRT-code), using strength reduction based on linear OOA(4¹⁶¹, 57, F₄, 3, 129) (dual of [(57, 3), 10, 130]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁷¹, 27, F₄, 3, 61) (dual of [(27, 3), 10, 62]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,19P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4⁸⁰, 30, F₄, 3, 67) (dual of [(30, 3), 10, 68]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,22P) [i] based on function field F/F₄ with g(F) = 13 and N(F) ≥ 30, using
    - F₄ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [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.