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...
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...
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...
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...
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...