MinT - Information on Result #2624531

Information on Result #2624531

Linear OOA(3¹⁷⁵, 61, F₃, 3, 128) (dual of [(61, 3), 8, 129]-NRT-code), using strength reduction based on linear OOA(3¹⁷⁵, 61, F₃, 3, 129) (dual of [(61, 3), 8, 130]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹⁶, 8, F₃, 3, 14) (dual of [(8, 3), 8, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;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(3¹⁵¹, 53, F₃, 3, 114) (dual of [(53, 3), 8, 115]-NRT-code), using
  - 9 step truncation [i] based on linear OOA(3¹⁶⁰, 56, F₃, 3, 123) (dual of [(56, 3), 8, 124]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(3⁷⁶, 28, F₃, 3, 61) (dual of [(28, 3), 8, 62]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;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.