MinT - Information on Result #2439178

Information on Result #2439178

Linear OOA(4⁹⁰, 47, F₄, 2, 71) (dual of [(47, 2), 4, 72]-NRT-code), using strength reduction based on linear OOA(4⁹⁰, 47, F₄, 2, 72) (dual of [(47, 2), 4, 73]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁶, 5, F₄, 2, 6) (dual of [(5, 2), 4, 7]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;4,4) [i]
2. linear OOA(4⁸⁰, 42, F₄, 2, 65) (dual of [(42, 2), 4, 66]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(4²⁴, 14, F₄, 2, 21) (dual of [(14, 2), 4, 22]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,6P) [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.