MinT - Information on Result #2777220

Information on Result #2777220

Linear OOA(3²⁴⁴, 63, F₃, 4, 195) (dual of [(63, 4), 8, 196]-NRT-code), using strength reduction based on linear OOA(3²⁴⁴, 63, F₃, 4, 198) (dual of [(63, 4), 8, 199]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3²⁴, 8, F₃, 4, 22) (dual of [(8, 4), 8, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,9P) [i] based on function field F/F₃ with g(F) = 2 and N(F) ≥ 8, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3²¹², 55, F₃, 4, 175) (dual of [(55, 4), 8, 176]-NRT-code), using
  - 4 step truncation [i] based on linear OOA(3²¹⁶, 56, F₃, 4, 179) (dual of [(56, 4), 8, 180]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(3¹⁰⁴, 28, F₃, 4, 89) (dual of [(28, 4), 8, 90]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,22P) [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.