MinT - Information on Result #2660919

Information on Result #2660919

Linear OOA(3²³⁸, 85, F₃, 3, 156) (dual of [(85, 3), 17, 157]-NRT-code), using 1 step truncation based on linear OOA(3²³⁹, 86, F₃, 3, 157) (dual of [(86, 3), 19, 158]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3⁶⁷, 28, F₃, 3, 52) (dual of [(28, 3), 17, 53]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,31P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁸⁵, 29, F₃, 3, 78) (dual of [(29, 3), 2, 79]-NRT-code), using
  - 9 step truncation [i] based on linear OOA(3⁹⁴, 32, F₃, 3, 87) (dual of [(32, 3), 2, 88]-NRT-code), using
    - repeating each code word 8 times [i] based on linear OOA(3¹⁰, 4, F₃, 3, 10) (dual of [(4, 3), 2, 11]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(3;2,3) [i]
3. linear OOA(3⁸⁷, 29, F₃, 3, 87) (dual of [(29, 3), 0, 88]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [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.