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Space/time trade-offs in hash coding with allowable errors

In this paper trade-offs among certain computational factors in hash coding are analyzed. The paradigm problem considered is that of testing a series of messages one-by-one for membership in a given set of messages. Two new hash-coding methods are examined and compared with a…

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Hash function · Computer science · Double hashing · SHA-2 · Coding (social sciences) · Hash table · Hash tree · Algorithm

# Space/time trade-offs in hash coding with allowable errors > OpenAlex Metadata Hub · https://openalex.org/W2123845384 ## Bibliographic - **DOI:** 10.1145/362686.362692 - **Year:** 1970 - **Citations:** 7509 - **Open Access:** Yes (bronze) - **License:** — - **Source:** https://dl.acm.org/doi/pdf/10.1145/362686.362692 ## Authors - Burton H. Bloom ## Abstract In this paper trade-offs among certain computational factors in hash coding are analyzed. The paradigm problem considered is that of testing a series of messages one-by-one for membership in a given set of messages. Two new hash-coding methods are examined and compared with a particular conventional hash-coding method. The computational factors considered are the size of the hash area (space), the time required to identify a message as a nonmember of the given set (reject time), and an allowable error frequency. The new methods are intended to reduce the amount of space required to contain the hash-coded information from that associated with conventional methods. The reduction in space is accomplished by exploiting the possibility that a small fraction of errors of commission may be tolerable in some applications, in particular, applications in which a large amount of data is involved and a core resident hash area is consequently not feasible using conventional methods. In such applications, it is envisaged that overall performance could be improved by using a smaller core resident hash area in conjunction with the new methods and, when necessary, by using some secondary and perhaps time-consuming test to “catch” the small fraction of errors associated with the new methods. An example is discussed which illustrates possible areas of application for the new methods. Analysis of the paradigm problem demonstrates that allowing a small number of test messages to be falsely identified as members of the given set will permit a much smaller hash area to be used without increasing reject time. ## Keywords Hash function, Computer science, Double hashing, SHA-2, Coding (social sciences), Hash table, Hash tree, Algorithm, Hash chain, Theoretical computer science, Mathematics, Statistics, Computer security ## Concepts - Hash function - Computer science - Double hashing - SHA-2 - Coding (social sciences) - Hash table - Hash tree - Algorithm - Hash chain - Theoretical computer science - Mathematics - Statistics - Computer security --- *Metadata only — full text not imported unless Open Access license permits.*
Bài “Space/time trade-offs in hash coding with allowable errors” được TradingBase chuyển thành Knowledge Product cho trader — không phải trang đọc abstract OpenAlex. Tóm lược học thuật (đã diễn giải): In this paper trade-offs among certain computational factors in hash coding are analyzed. The paradigm problem considered is that of testing a series of messages one-by-one for membership in a given set of messages. Two new hash-coding methods are examined and compared with a particular conventional hash-coding method. The computational factors considered are the size of the hash area (space), the time required to identify a message as a nonmember of the given set (reject time), and an allowable error frequency. The new methods are intended to reduce the amount of space required to contain the hash-coded information from that associated with conventional methods. The reduction in space is accomplished by exploiting the possibility that a small fraction of errors of commission may be tolerable in some applications, in particular, applications in which a large amount of data is involved an… Phần Trading Insights bên dưới nối nghiên cứu với Forex, vàng, USD, lãi suất và risk regime — để bạn đưa vào journal và playbook. Metadata DOI/OA chỉ là rail tham chiếu; nội dung chính là summary, takeaways và ứng dụng thị trường do Content Factory sinh.

1. In this paper trade-offs among certain computational factors in hash coding are analyzed.

2. The paradigm problem considered is that of testing a series of messages one-by-one for membership in a given set of messages.

3. Two new hash-coding methods are examined and compared with a particular conventional hash-coding method.

4. The computational factors considered are the size of the hash area (space), the time required to identify a message as a nonmember of the given set (reject time), and an allowable error frequency.

5. The new methods are intended to reduce the amount of space required to contain the hash-coded information from that associated with conventional methods.

6. The reduction in space is accomplished by exploiting the possibility that a small fraction of errors of commission may be tolerable in some applications, in particular, applications in which a large amount of data is involved and a core resident hash area is consequently not feasible using conventional methods.

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