This is the 14444th most frequent Russian word.
офицерских
"Of officers" or "pertaining to officers."
The word 'офицерских' is genitive plural descriptive form associated with officers' attributes, referencing awards belonging to officers.
Офицерских наград в этом году будет больше.
Officer awards will be more abundant this year.
The word 'офицерских' modifies 'обязанностях' (duties), indicating that these duties pertain to officers.
Он хорошо разбирается в офицерских обязанностях.
He is knowledgeable about officers' duties.
In this sentence, 'офицерских' describes 'традиций' (traditions), specifying traditions characteristic of officers.