MinT - Information on Result #2452169

Information on Result #2452169

Linear OOA(9¹²⁹, 67, F₉, 2, 113) (dual of [(67, 2), 5, 114]-NRT-code), using strength reduction based on linear OOA(9¹²⁹, 67, F₉, 2, 114) (dual of [(67, 2), 5, 115]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(9¹⁷, 11, F₉, 2, 16) (dual of [(11, 2), 5, 17]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(9¹⁷, 16, F₉, 2, 16) (dual of [(16, 2), 15, 17]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,15P) [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
      - a function field by GarcÃa and Quoos [i]
2. linear OOA(9¹⁰⁷, 56, F₉, 2, 97) (dual of [(56, 2), 5, 98]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(9⁵¹, 28, F₉, 2, 48) (dual of [(28, 2), 5, 49]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
      - the Hermitian function field over F₉ [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.