MinT - Information on Result #2776769

Information on Result #2776769

Linear OOA(3²³⁸, 61, F₃, 4, 194) (dual of [(61, 4), 6, 195]-NRT-code), using strength reduction based on linear OOA(3²³⁸, 61, F₃, 4, 197) (dual of [(61, 4), 6, 198]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹⁸, 6, F₃, 4, 17) (dual of [(6, 4), 6, 18]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹⁸, 7, F₃, 4, 17) (dual of [(7, 4), 10, 18]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,10P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3²¹⁴, 55, F₃, 4, 179) (dual of [(55, 4), 6, 180]-NRT-code), using
  - 4 step truncation [i] based on linear OOA(3²¹⁸, 56, F₃, 4, 183) (dual of [(56, 4), 6, 184]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(3¹⁰⁶, 28, F₃, 4, 91) (dual of [(28, 4), 6, 92]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,20P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
        an explicitly constructive algebraic function field [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.