May, 2011.
Technical Report UT-CS-11-672
EECS Department
University of Tennessee
Knoxville, TN 37996
This paper is appearing in the 2011 Information Theroy Workshop,, Paraty, Brazil. Please see this link for citation information and PDF of that paper.
This paper presents a stunning and counter-intuitive result --- that the encoding of k message symbols in an MDS code may require fewer than k-1 XOR operations per coding symbol. The result brings into question the lower bounds on the performance of encoding and decoding MDS erasure codes.
.techreport p:11:xor author J. S. Plank title XOR's, Lower Bounds and MDS Codes for Storage institution University of Tennessee month May year 2011 number CS-11-672 where http://web.eecs.utk.edu/~jplank/plank/papers/CS-11-672.html
@TECHREPORT{p:11:xor, author = "J. S. Plank", title = "{XOR's}, Lower Bounds and {MDS} Codes for Storage", institution = "University of Tennessee", month = "May", year = "2011", number = "CS-11-672", where = "http://web.eecs.utk.edu/~jplank/plank/papers/CS-11-672.html" }