MinT - Information on Result #2447377

Information on Result #2447377

Linear OOA(5⁹⁹, 51, F₅, 2, 81) (dual of [(51, 2), 3, 82]-NRT-code), using strength reduction based on linear OOA(5⁹⁹, 51, F₅, 2, 85) (dual of [(51, 2), 3, 86]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(5⁹, 6, F₅, 2, 9) (dual of [(6, 2), 3, 10]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;3,5) [i]
2. linear OOA(5⁸⁷, 45, F₅, 2, 75) (dual of [(45, 2), 3, 76]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(5⁷, 5, F₅, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;3,5) [i]
    2. linear OOA(5⁷⁷, 40, F₅, 2, 67) (dual of [(40, 2), 3, 68]-NRT-code), using
      - repeating each code word 4 times [i] based on linear OOA(5¹⁷, 10, F₅, 2, 16) (dual of [(10, 2), 3, 17]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₅ with g(F) = 1 and N(F) ≥ 10, 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.