MinT - Information on Result #1475529

Information on Result #1475529

Linear OOA(3¹⁴¹, 73, F₃, 2, 103) (dual of [(73, 2), 5, 104]-NRT-code), using juxtaposition based on

linear OOA(3⁷, 6, F₃, 2, 6) (dual of [(6, 2), 5, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁷, 7, F₃, 2, 6) (dual of [(7, 2), 7, 7]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3¹²⁹, 67, F₃, 2, 96) (dual of [(67, 2), 5, 97]-NRT-code), using
- 1 step truncation [i] based on linear OOA(3¹³⁰, 68, F₃, 2, 97) (dual of [(68, 2), 6, 98]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(9¹⁴, 17, F₉, 13) (dual of [17, 3, 14]-code), using
      - plane (s,3)-arcs in PG(2,b) [i]
    2. 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]

Mode: Linear.

None.

None.