We state several conjectures which provide good upper and lower bounds for the number of balanced Boolean functions in n variables with degree less than or equal to k. We give proofs for several special cases and give some reasons why we think that the conjectures are true. We believe that the conjectures will be very useful for further research.
IOS Press, Inc.
6751 Tepper Drive
Clifton, VA 20124
Tel.: +1 703 830 6300
Fax: +1 703 830 2300 firstname.lastname@example.org
(Corporate matters and books only) IOS Press c/o Accucoms US, Inc.
For North America Sales and Customer Service
West Point Commons
Lansdale PA 19446
Tel.: +1 866 855 8967
Fax: +1 215 660 5042 email@example.com