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Are most low-density knapsacks solvable in polynomial time

Conference ·
OSTI ID:6232580

In this paper, we show how techniques similar to those developed for breaking the cryptosystems can be used to solve knapsacks of low density. In the examples we have run, the algorithm has always been successful on knapsacks of density less than or equal to 1/2. We show, based on one assumption, that the algorithm will succeed on most knapsacks of density less than or equal to 1/3.

Research Organization:
Sandia National Labs., Albuquerque, NM (USA)
DOE Contract Number:
AC04-76DP00789
OSTI ID:
6232580
Report Number(s):
SAND-83-0099C; CONF-830228-1; ON: DE83010511
Country of Publication:
United States
Language:
English

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