Finite fields | Cyclic redundancy checks
Computation of a cyclic redundancy check is derived from the mathematics of polynomial division, modulo two. In practice, it resembles long division of the binary message string, with a fixed number of zeroes appended, by the "generator polynomial" string except that exclusive or operations replace subtractions. Division of this type is efficiently realised in hardware by a modified shift register, and in software by a series of equivalent algorithms, starting with simple code close to the mathematics and becoming faster (and arguably more obfuscated) through byte-wise parallelism and space–time tradeoffs. Various CRC standards extend the polynomial division algorithm by specifying an initial shift register value, a final Exclusive-Or step and, most critically, a bit ordering (endianness). As a result, the code seen in practice deviates confusingly from "pure" division, and the register may shift left or right. (Wikipedia).
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Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Determining if a vector is a linear combination of other vectors
From playlist Linear Algebra
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Cyclic Redundancy Check is a method of searching for errors in a communications system. I'm Mr. Woo and my channel is all about learning - I love doing it, and I love helping others to do it too. I guess that's why I became a teacher! I hope you get something out of these videos - I uploa
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From playlist Discrete Math I (Entire Course)
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From playlist Linear Algebra for Computer Scientists
Computer Networks. Part Five: Switched Ethernet LANs
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How to Math - Solving a system of equations by using substitution
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From playlist Solve a System Algebraically | Algebra 2
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From playlist Uploads
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From playlist Workshop: "Amplitudes and Periods"
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From playlist Computation, Geometry, Logic seminar
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From playlist Solve a System Algebraically | Algebra 2
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The Computer Chronicles - Computer Bowl IV Part 1 (1992)
Special thanks to archive.org for hosting these episodes. Downloads of all these episodes and more can be found at: http://archive.org/details/computerchronicles
From playlist The Computer Chronicles - Computer Bowl Competitions
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