MinT - Information on Result #2635321

Information on Result #2635321

Linear OOA(4²¹⁴, 73, F₄, 3, 177) (dual of [(73, 3), 5, 178]-NRT-code), using strength reduction based on linear OOA(4²¹⁴, 73, F₄, 3, 179) (dual of [(73, 3), 5, 180]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4¹⁰, 5, F₄, 3, 10) (dual of [(5, 3), 5, 11]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;5,4) [i]
2. linear OOA(4¹⁹⁹, 68, F₄, 3, 168) (dual of [(68, 3), 5, 169]-NRT-code), using
  - 6 step truncation [i] based on linear OOA(4²⁰⁵, 70, F₄, 3, 174) (dual of [(70, 3), 5, 175]-NRT-code), using
    - repeating each code word 5 times [i] based on linear OOA(4³⁷, 14, F₄, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, 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.