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STOC
1996
ACM
132views Algorithms» more  STOC 1996»
15 years 1 months ago
Approximability and Nonapproximability Results for Minimizing Total Flow Time on a Single Machine
We consider the problem of scheduling n jobs that are released over time on a single machine in order to minimize the total ow time. This problem is well-known to be NPcomplete, a...
Hans Kellerer, Thomas Tautenhahn, Gerhard J. Woegi...
SODA
2012
ACM
240views Algorithms» more  SODA 2012»
13 years 7 days ago
Constructing high order elements through subspace polynomials
Every finite field has many multiplicative generators. However, finding one in polynomial time is an important open problem. In fact, even finding elements of high order has n...
Qi Cheng, Shuhong Gao, Daqing Wan
FOCS
2006
IEEE
15 years 3 months ago
Inclusion--Exclusion Algorithms for Counting Set Partitions
Given an n-element set U and a family of subsets S ⊆ 2U we show how to count the number of k-partitions S1 ∪ · · · ∪ Sk = U into subsets Si ∈ S in time 2nnO(1). The only...
Andreas Björklund, Thore Husfeldt
SODA
2004
ACM
88views Algorithms» more  SODA 2004»
14 years 11 months ago
Constructing finite field extensions with large order elements
In this paper, we present an algorithm that given a fixed prime power q and a positive integer N, finds an integer n [N, 2qN] and an element Fqn of order greater than 5.8n/ log...
Qi Cheng
CORR
2008
Springer
117views Education» more  CORR 2008»
14 years 8 months ago
Complexity of Decoding Positive-Rate Reed-Solomon Codes
Abstract. The complexity of maximum likelihood decoding of the ReedSolomon codes [q -1, k]q is a well known open problem. The only known result [4] in this direction states that it...
Qi Cheng, Daqing Wan