MinT - Information on Result #2640689

Information on Result #2640689

Linear OOA(5¹¹⁹, 41, F₅, 3, 103) (dual of [(41, 3), 4, 104]-NRT-code), using strength reduction based on linear OOA(5¹¹⁹, 41, F₅, 3, 105) (dual of [(41, 3), 4, 106]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(5¹¹, 5, F₅, 3, 11) (dual of [(5, 3), 4, 12]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;4,5) [i]
2. linear OOA(5¹⁰⁴, 36, F₅, 3, 93) (dual of [(36, 3), 4, 94]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(5⁵⁰, 18, F₅, 3, 46) (dual of [(18, 3), 4, 47]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₅ with g(F) = 4 and N(F) ≥ 18, 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.