MinT - Information on Result #1020923

Information on Result #1020923

Linear OOA(3¹⁷⁰, 69, F₃, 3, 91) (dual of [(69, 3), 37, 92]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁴³, 23, F₃, 3, 30) (dual of [(23, 3), 26, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁴³, 24, F₃, 3, 30) (dual of [(24, 3), 29, 31]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,41P) [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(3⁵⁸, 23, F₃, 3, 45) (dual of [(23, 3), 11, 46]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵⁸, 24, F₃, 3, 45) (dual of [(24, 3), 14, 46]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,26P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24 (see above)
linear OOA(3⁶⁹, 23, F₃, 3, 69) (dual of [(23, 3), 0, 70]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

None.

None.