MinT - Information on Result #2645545

Information on Result #2645545

Linear OOA(8¹⁵⁵, 53, F₈, 3, 142) (dual of [(53, 3), 4, 143]-NRT-code), using strength reduction based on linear OOA(8¹⁵⁵, 53, F₈, 3, 143) (dual of [(53, 3), 4, 144]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(8¹¹, 5, F₈, 3, 11) (dual of [(5, 3), 4, 12]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(8¹¹, 8, F₈, 3, 11) (dual of [(8, 3), 13, 12]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;13,8) [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.