Computation of cyclic redundancy checks may use whichever form is more convenient. Parallel update for a byte or a word at a time can also be done explicitly, without a table. This is normally used in high-speed hardware implementations. For each bit an equation is solved after 8 bits have been shifted in. The following tables list the equations for some commonly used polynomials, using following symbols: As the CRC-32 polynomial has a large number of terms, when computing the remainder a byte at a time each bit depends on several bits of the previous iteration. In byte-parallel hardware implementations this calls for either multiple-input
Many-to-many Many-to-many The many-to-many communication paradigm is one of three major Internet computing paradigms, characterized by multiple users contributing and receiving information, with the information elements often interlinked across different websites. Developments such as file sharing, blogs, Wikis, and tagging are media forms that reflect this paradigm; these contrast with both the one-to-one (characterized by e-mail, FTP, and Telnet) and one-to-many (characterized by websites) paradigms. With the evolution to the full "many-to-many" computing paradigm, people can input and receive information to and from the Internet; they will be able to connect and communicate dynamically within a flexibly formed scope; there will