The Spatial Complexity of Oblivious K Probe Hash Functions
The Spatial Complexity of Oblivious K Probe Hash Functions
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Altogether, we need at most [lognj-l-l different ki values, where ki is the i"" multiplier servicing about 1/2' of the buckets. Moreover, the information content of the map from bucket indices into these [log nj -f 1 multipliers (i. E. , the representation of the table A' with Huffman coding) is 0(ri).
In summary, the optimal perfect hash function is that described above, with two modifications: 1. The (uncompressed) hash value is /i, (i-) = ((kiX mod p) mod 2c?) + 2C, -.
2. The multiplier valu...es k are iteratively selected to satisfy the one-to-one requirement of the maximum number of (unsatisfied) hi's.
It remains to show how to achieve a compact encoding of the content of the tables A', C, and D to require only 0{n) bits, that is readily decodable in 0(1) time in our computational model. The basic decoding operations we will use are as follows: 1. Extract a subsequence of bits from one word.
2. Concatenate two bit strings of altogether O(logn) bits.
10 3. Locate the bit-index of the ^--th zero in a word.
What to read after The Spatial Complexity of Oblivious K Probe Hash Functions?
You can find similar books in the "Read Also" column, or choose other free books by Jeanette Schmidt to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Altogether, we need at most [lognj-l-l different ki values, where ki is the i"" multiplier servicing about 1/2' of the buckets. Moreover, the information content of the map from bucket indices into these [log nj -f 1 multipliers (i. E. , the representation of the table A' with Huffman coding) is 0(ri).
In summary, the optimal perfect hash function is that described above, with two modifications: 1. The (uncompressed) hash value is /i, (i-) = ((kiX mod p) mod 2c?) + 2C, -.
2. The multiplier valu...es k are iteratively selected to satisfy the one-to-one requirement of the maximum number of (unsatisfied) hi's.
It remains to show how to achieve a compact encoding of the content of the tables A', C, and D to require only 0{n) bits, that is readily decodable in 0(1) time in our computational model. The basic decoding operations we will use are as follows: 1. Extract a subsequence of bits from one word.
2. Concatenate two bit strings of altogether O(logn) bits.
10 3. Locate the bit-index of the ^--th zero in a word.
What to read after The Spatial Complexity of Oblivious K Probe Hash Functions?
You can find similar books in the "Read Also" column, or choose other free books by Jeanette Schmidt to read onlineMoreLess
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