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- W2949276543 abstract "In this paper, we study the complexity of solving hard knapsack problems, i.e., knapsacks with a density close to 1 where latticebased low density attacks are not an option. For such knapsacks, the current state-of-the-art is a 31-year old algorithm by Schroeppel and Shamir which is based on birthday paradox techniques and yields a running time of O(2) for knapsacks of n elements and uses O(2) storage. We propose here two new algorithms which improve on this bound, finally lowering the running time down to O(2) for almost all knapsacks of density 1. We also demonstrate the practicality of these algorithms with an implementation." @default.
- W2949276543 created "2019-06-27" @default.
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- W2949276543 date "2010-01-01" @default.
- W2949276543 modified "2023-09-24" @default.
- W2949276543 title "New generic algorithms for hard knapsacks." @default.
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