MinT - Information on Result #986663

Information on Result #986663

Linear OOA(9⁸⁹, 51, F₉, 3, 46) (dual of [(51, 3), 64, 47]-NRT-code), using OOA 2-folding based on linear OOA(9⁸⁹, 102, F₉, 2, 46) (dual of [(102, 2), 115, 47]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(9²⁶, 28, F₉, 2, 23) (dual of [(28, 2), 30, 24]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,32P) [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
    - the Hermitian function field over F₉ [i]
2. linear OOA(9⁶³, 74, F₉, 2, 46) (dual of [(74, 2), 85, 47]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,101P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
    - a function field by GarcÃa and Quoos [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.