MinT - Information on Result #2645657

Information on Result #2645657

Linear OOA(8¹⁵⁸, 54, F₈, 3, 145) (dual of [(54, 3), 4, 146]-NRT-code), using strength reduction based on linear OOA(8¹⁵⁸, 54, F₈, 3, 146) (dual of [(54, 3), 4, 147]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(8¹⁴, 6, F₈, 3, 14) (dual of [(6, 3), 4, 15]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(8¹⁴, 8, F₈, 3, 14) (dual of [(8, 3), 10, 15]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;10,8) [i]
2. linear OOA(8¹⁴⁰, 48, F₈, 3, 131) (dual of [(48, 3), 4, 132]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(8⁶⁸, 24, F₈, 3, 65) (dual of [(24, 3), 4, 66]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₈ with g(F) = 3 and N(F) ≥ 24, using
      - the Klein quartic over F₈ [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.