Exhibit 32.03
CERTIFICATION PURSUANT TO SECTION 1350 OF CHAPTER 63 OF TITLE 18 OF
THE UNITED STATES CODE

I, Gregg Buckbinder, the Chief Financial and Operating Officer and principal
financial officer of Millburn Ridgefield Corporation, the General Partner of
Nestor Partners (the "Partnership"), certify that (i) the Quarterly Report of
the Partnership on Form 10-Q for the period ending June 30, 2006 fully complies
with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act
of 1934 and (ii) the information contained in such Quarterly Report fairly
presents, in all material respects, the financial condition and results of
operations of the Partnership.


/s/ Gregg Buckbinder
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 Gregg Buckbinder
 Chief Financial and Operating Officer
 August 14, 2006