MinT - Information on Result #2765686

Information on Result #2765686

Linear OOA(2²²¹, 56, F₂, 4, 171) (dual of [(56, 4), 3, 172]-NRT-code), using strength reduction based on linear OOA(2²²¹, 56, F₂, 4, 189) (dual of [(56, 4), 3, 190]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁹, 3, F₂, 4, 9) (dual of [(3, 4), 3, 10]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(4;3,2) [i]
2. linear OOA(2²⁰⁹, 53, F₂, 4, 179) (dual of [(53, 4), 3, 180]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2⁹, 3, F₂, 4, 9) (dual of [(3, 4), 3, 10]-NRT-code) (see above)
    2. linear OOA(2¹⁹⁷, 50, F₂, 4, 169) (dual of [(50, 4), 3, 170]-NRT-code), using
      - repeating each code word 10 times [i] based on linear OOA(2¹⁷, 5, F₂, 4, 16) (dual of [(5, 4), 3, 17]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(4;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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.