The sequencing of DNA is an important and difficult problem. Many inte
resting algorithms combine various technologies in an attempt to seque
nce long regions of DNA, One such algorithm is sequencing by hybridiza
tion (SBH). We briefly review SBH and mention the drawbacks that preve
nt it from being used in practice. We then present a theoretical algor
ithm that uniquely determines a sequence of length n through hybridiza
tion experiments that require the examination of only O(n(2)log(n)) su
bsequences. The key idea is to double subsequence length in each itera
tion of the algorithm. There are various problems associated with tran
sforming the theoretical algorithm into a practical biological procedu
re, However, the general strategy of increasing subsequence length may
be used to develop algorithms that are feasible given the current sta
te of technology. Combining this strategy with a computer processing p
hase leads to a novel method of extending the resolving power of stand
ard SBH techniques.