Abstract: A method for mapping a first address space to a second address space is provided. In some embodiments, the method includes creating a first array of lookup entries and one or more second arrays of metadata entries for maintaining an ordering among the lookup entries using a tree structure. Each of the metadata entries includes one or more data index values identifying a corresponding one of the lookup entries by its position in the first array and one or more metadata index values identifying a corresponding one of the metadata entries by its position in one of the one or more second arrays. The method further includes receiving a request including a lookup value, traversing the tree structure to locate a lookup entry corresponding to the lookup value, and when the lookup value is located among the lookup entries, using the located lookup entry to process the request.

Abstract: A method, a computing device, and a non-transitory machine-readable medium for indexing data on a storage server are provided. A method includes providing, by a storage server, a plurality of sorted keys. A subset of the plurality of sorted keys that include a bit prefix is stored on a memory page. A trie representation is constructed that includes an entry corresponding to the memory page, wherein a position of the entry in the trie representation is determined based on a binary value of bits of the bit prefix. The trie representation is traversed, by the storage server, to access a record stored in the memory page, wherein the record corresponds to a key having the bit prefix.

Abstract: A method, a computing device, and a non-transitory machine-readable medium for indexing data on a storage server are provided. A method includes providing, by a storage server, a plurality of sorted keys. A subset of the plurality of sorted keys that include a bit prefix is stored on a memory page. A trie representation is constructed that includes an entry corresponding to the memory page, wherein a position of the entry in the trie representation is determined based on a binary value of bits of the bit prefix. The trie representation is traversed, by the storage server, to access a record stored in the memory page, wherein the record corresponds to a key having the bit prefix.

Abstract: A method for mapping a first address space to a second address space is provided. In some embodiments, the method includes creating a first array of lookup entries and one or more second arrays of metadata entries for maintaining an ordering among the lookup entries using a tree structure. Each of the metadata entries includes one or more data index values identifying a corresponding one of the lookup entries by its position in the first array and one or more metadata index values identifying a corresponding one of the metadata entries by its position in one of the one or more second arrays. The method further includes receiving a request including a lookup value, traversing the tree structure to locate a lookup entry corresponding to the lookup value, and when the lookup value is located among the lookup entries, using the located lookup entry to process the request.