Boyce - Codd Normal Form (BCNF)  :- A normal form is said to be a Boyce - Codd Normal Form if it is in 3NF and there is not a possibility of a key attribute is determined by a Non Key attribute.

For example , suppose there are 5 columns says A,B,C,D,E and  combination of the columns  A and B  constitute the Primary key for this table.

Suppose, there is no transitive dependencies are existed in this table, but column C can determine the value of column B. In other words, the value of Column B is determined by the Column C then this table can not be in the Boyce - Codd Normal Form. To make this table in BCNF we needs to divide this table into two tables "table 1" and "table2" . The table1 will contains the following columns A, B, D,E where primary key is the combination of the column A and B and  table2 will contains the two columns B , C where C will be the primary key.

Table 1  (Primary key :-A,B)                     Table2 (Primary Key :- C)
A,B,D,E                                                             B,C

 Thus every table satisfying the 3NF condition cannot be said to be in BCNF normal form but a table in BCNF will always be in 3NF form.