MinT - Information on Result #1084345

Information on Result #1084345

Linear OOA(3²⁴⁷, 69, F₃, 4, 158) (dual of [(69, 4), 29, 159]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁶⁵, 23, F₃, 4, 52) (dual of [(23, 4), 27, 53]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶⁵, 24, F₃, 4, 52) (dual of [(24, 4), 31, 53]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,43P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [i]
linear OOA(3⁹⁰, 23, F₃, 4, 79) (dual of [(23, 4), 2, 80]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3⁹⁰, 46, F₃, 2, 79) (dual of [(46, 2), 2, 80]-NRT-code), using
  - 4 step truncation [i] based on linear OOA(3⁹⁴, 48, F₃, 2, 83) (dual of [(48, 2), 2, 84]-NRT-code), using
    - repeating each code word 12 times [i] based on linear OOA(3⁶, 4, F₃, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;2,3) [i]
linear OOA(3⁹², 23, F₃, 4, 92) (dual of [(23, 4), 0, 93]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

None.

None.