Disclosed is a system for generating parity information for a data file in a distributed data structure system. Data objects in the data file are distributed into data buckets located in memory areas in servers interconnected by a network. An nth set of bucket group numbers are generated. A data bucket and a parity bucket are associated with a bucket group number in the nth set. Parity data for the data objects is generated and stored in a parity bucket associated with a bucket group number in the nth set. After adding a data object to the data file an additional data bucket may be provided for additional data object storage space. After adding a data bucket, a determination is made as to whether bucket availability has decreased below a predetermined threshold. If so, an (n+1)th set of bucket group numbers is generated and parity data for at least one of the data objects is stored in a parity bucket associated with a bucket group number in the (n+1)th set. A bucket group number in the (n+1)th set is associated with a data bucket and a parity bucket.