Coding theory | Error detection and correction | Finite fields
In coding theory, the BoseโChaudhuriโHocquenghem codes (BCH codes) form a class of cyclic error-correcting codes that are constructed using polynomials over a finite field (also called Galois field). BCH codes were invented in 1959 by French mathematician Alexis Hocquenghem, and independently in 1960 by Raj Chandra Bose and D.K. Ray-Chaudhuri. The name BoseโChaudhuriโHocquenghem (and the acronym BCH) arises from the initials of the inventors' surnames (mistakenly, in the case of Ray-Chaudhuri). One of the key features of BCH codes is that during code design, there is a precise control over the number of symbol errors correctable by the code. In particular, it is possible to design binary BCH codes that can correct multiple bit errors. Another advantage of BCH codes is the ease with which they can be decoded, namely, via an algebraic method known as syndrome decoding. This simplifies the design of the decoder for these codes, using small low-power electronic hardware. BCH codes are used in applications such as satellite communications, compact disc players, DVDs, disk drives, USB flash drives, solid-state drives, quantum-resistant cryptography and two-dimensional bar codes. (Wikipedia).
This number systems video tutorial explains how to convert from binary coded decimal or BCD to Decimal. Subscribe: https://www.youtube.com/channel/UCEWpbFLzoYGPfuWUMFPSaoA?sub_confirmation=1 Access to Premium Videos: https://www.patreon.com/MathScienceTutor https://www.facebook.com/Math
From playlist Number Systems
This number systems video tutorial explains how to convert from decimal to BCD or binary coded decimal. Subscribe: https://www.youtube.com/channel/UCEWpbFLzoYGPfuWUMFPSaoA?sub_confirmation=1 Access to Premium Videos: https://www.patreon.com/MathScienceTutor https://www.facebook.com/Math
From playlist Number Systems
Visualizing decimal numbers and their arithmetic 67 | Arithmetic and Geometry Math Foundations
This video gives a precise definition of a decimal number as a special kind of rational number; one for which there is an expression a/b where a and b are integers, with b a power of ten. For such a number we can extend the Hindu-Arabic notation for integers by introducing the decimal form
From playlist Math Foundations
This video is a brief introduction to linear codes: dimensions, G (generating matrix), H (parity check matrix), their forms. Also gives an example of how to convert between G and H. Here is the formal definition of a Linear Code: A linear code of dimension k and length n over a field
From playlist Cryptography and Coding Theory
B24 Introduction to the Bernoulli Equation
The Bernoulli equation follows from a linear equation in standard form.
From playlist Differential Equations
Powered by https://www.numerise.com/ C1 Sequences & Series (1)
From playlist Core 1 - Sequences and Series
What is the alternate in sign sequence
๐ Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
5G Explained: Synchronization Signal Blocks in 5G NR
View the full playlist here: https://www.youtube.com/playlist?list=PLn8PRpmsu08rCL-Ejn25HMX6M6o7QjJoe In this video, youโll learn about the synchronization signal block (SSB) in 5G New Radio (NR). The SSB is comprised of the primary and secondary synchronization signals (PSS and SSS) as we
From playlist 5G Explained
5G Explained: Initial Acquisition Procedures in 5G NR
This video discusses initial acquisition procedures starting with cell search. By acquiring the primary and secondary synchronization signals (PSS and SSS), you can see the timing and the knowledge of the physical cell identity. The video then discusses broadcast channel (BCH) decoding, ho
From playlist 5G Explained
Lec 12 | MIT 6.451 Principles of Digital Communication II
Reed-Solomon Codes View the complete course: http://ocw.mit.edu/6-451S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.451 Principles of Digital Communication II
MATH3411 Information, Codes and Ciphers This problem introduces us to 2-error correcting BCH codes. We encode a message and correct and decode a received message. Presented by Thomas Britz, School of Mathematics and Statistics, Faculty of Science, UNSW Australia
From playlist MATH3411 Information, Codes and Ciphers
Ivan Oleynik - Materials at Extremes: Discovery Science with Exascale Computers and Experiment
Recorded 31 March 2023. Ivan Oleynik of the University of South Florida presents "Materials at Extremes: Discovery Science with Exascale Computers and Experiment" at IPAM's Increasing the Length, Time, and Accuracy of Materials Modeling Using Exascale Computing workshop. Abstract: The beha
From playlist 2023 Increasing the Length, Time, and Accuracy of Materials Modeling Using Exascale Computing
Bitcoin Q&A: SegWit and Fork Research
How likely is a hard fork to increase the block size in the future? Under what conditions might that happen? What is being prioritised in the roadmap? Why implement Segregated Witness (SegWit) instead of "simply" increasing the block size limit? More on SegWit and capacity increase resear
From playlist English Subtitles - aantonop Videos with subtitles in English
๐ Learn all about decimals. Decimals are numbers written with a decimal point. Digits can be written to the right or to the left of the decimal point. Digits are written to the left of the decimal point increase in value by multiples of 10 while digits written to the right decrease by mul
From playlist Decimals | Learn About
B10 Constructing code for the Euler Formula
B10 Constructing code for the Euler Formula using Python.
From playlist A Second Course in Differential Equations
On Low-Degree Polynomials - Madhu Sudan
A Celebration of Mathematics and Computer Science Celebrating Avi Wigderson's 60th Birthday October 5 - 8, 2016 More videos on http://video.ias.edu
From playlist Mathematics
Bitcoin Q&A: BCHABC vs. BCHSV Hard Forks
What happened with the Bitcoin Cash (BCH) hard fork on November 15th? What kind of fork was it? What is the difference between BCHABC / BAB and BCHSV / BSV (note: broad agreement on ticker symbols has not necessarily occurred yet)? What will OP_DATASIGVERIFY and Canonical Transaction Order
From playlist English Subtitles - aantonop Videos with subtitles in English
Lec 18 | MIT 6.451 Principles of Digital Communication II
Codes on Graphs View the complete course: http://ocw.mit.edu/6-451S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.451 Principles of Digital Communication II
[๋ ์ฝ์ธ์ฆ Top N Top] Top Coin_1์ฃผ๋ ๋ง์ดํ ๋นํธ์ฝ์ธ ์บ์ (BCH)
๋ฐฉ์ก์ผ์: 18.08.24(๊ธ) ์ถ์ฐ์: ํ๊ธฐ์ ์ ๋์ค ๋ํ ์ด์ฌ ๋ธ๋ก์ธํฌ ์ฐ๊ตฌ์ [๋ ์ฝ์ธ์ฆ Top N Top] Top Coin_1์ฃผ๋ ๋ง์ดํ ๋นํธ์ฝ์ธ ์บ์ (BCH) โถ์ด๋ฒ์ฃผ ํ์ฝ์ธ์ ์ผ๋ง์ ์ถ์ 1์ฃผ๋ ์ ๋ง์ดํ ๋นํธ์ฝ์ธ ์บ์์ ๋๋ค. ๋นํธ์ฝ์ธ์บ์ฌ๊ฐ ์ต๊ทผ 5์์ ํ๋ํฌํฌ๋ก 32MB๊น์ง ๋ธ๋ก ์ฉ๋์ ๋๋ฆฌ๊ณ , ์ด๋๋ฆฌ์ ์ค๋งํธ์ปจํธ๋ํธ์ ๊ธฐ๋ฅ์ ํ์ฌ์์ผฐ๋ค๊ณ ํฉ๋๋ค. ์์ธํ ๋ด์ฉ์ ์์์ ํตํด ํ์ธํ์์ฃ . โ ์ง๊ธ์ ์ด๋ฒคํธ์ค!! - ๋ค์ด๋ฒ ๋ชจ๋ฐ์ผ ์ฑ๋ ๊ตฌ๋ ์ด๋ฒคํธ์ ์ฐธ์ฌํ์๊ณ ์ ๋ฌผ ๋ฐ
From playlist ๋ ์ฝ์ธ์ฆ | ๊ฐ์ํํ์ ๋ชจ๋ ๊ฒ
What is the formula for the rule for the nth term of a arithmetic sequence
๐ Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences