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1answer
18 views

Hamming and BCH codes

Why are Hamming codes the best 1-error-correcting codes? I need references. I know that hamming codes are the best 1-error-correcting codes but I want to know why they are best?
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0answers
7 views

Java: Incorrect Output [Code placement / Reading from a file] [migrated]

Today I am working on a program that reads in a copy of the constitution, allows a user to input three words and have those three words checked in the file and output how many times those three ...
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2answers
65 views

Hamming distance necessary for detecting d-bit error and for correcting a d-bit error [duplicate]

I am trying to understand what hamming distance of a code is needed to detect a d-bit error, or to correct a d-bit error. This is what I have found around the web: If two codewords are Hamming ...
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1answer
79 views

Hamming distance required for error detection and correction

I have already asked a pair of questions on the hamming distance, hamming code, valid and invalid codewords on this website, because I cannot understand those concepts fully, and in a few weeks or ...
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0answers
15 views

G1, G2, H1, H2 are submatrices of the generator and parity check matrices of a code as described below. Can G1 * H2' and G2 * H1' both be all zeroes?

$ G $ and $ H $ are the generator and parity check matrices respectively of a linear block code. Let $ G_1 = G(:, 1:n-s) $ (Matlab style representation of sub matrices). That is, $ G_1 $ is equal to ...
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1answer
70 views

Error-correction code for transmission only with bit-flipping from 0 to 1

I am using a transmission system that uses a Bloom filter (this part is out of my control). I want to send a small amount of data (32 bits) using this system. For each bit [0,31], I add its index to ...
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vote
1answer
63 views

Error detection/correction algorithm

We have 2 stations that communicate with each other, but we need to detect (or even correct) when something is wrong. We use 8 binary words: each consisting of 3 bits and to send it we code it as ...
3
votes
1answer
52 views

Range of CRC-32

What is the range of “the” CRC-32, the one used by Unix, Ethernet, zip, and many other industrial standards? Mathematically, a CRC is defined as follows: let $G$ be the CRC polynomial in ...
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0answers
29 views

Forward Error Correction for streaming data

I am very familiar with error correcting codes. However, it is not obvious how to apply them to adaptive streaming data. There also doesn't seem to be much literature on the problem. The naive ...
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2answers
284 views

Commonly used Error Correcting Codes

We know error correcting codes are parameterized as (n,k,d) codes. I wanted to know the values of these parameters for some commonly used error correcting codes in computer memories or in DRAMs, etc. ...
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4answers
3k views

Is the 2nd parity bit in RAID 6 a simple calculation?

I'm trying to understand how the 2nd parity bit or byte is set in RAID 6. I'm reading a paper by H. Peter Anvin, and it goes into Galois field algebra, which is somewhat new to me. Anyway, a rep from ...