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Contributor
Contributor
122 Views
Registered: ‎04-18-2017

Why frame-based ECC method used always detects single, double, triple, and all odd-count bit errors in a frame?

On the page 20 of PG036, I saw a description of FRAME_ECCE2,as shown in the screenshot below. 

微信图片_20190801175340.png

As far as I know, FRAME_ECCE2 uses a 13-bit Hamming code to detect errors. Its Hamming disatnce is 3, so a single error correction and double error detection (SEC-DED) can be achieved. But why does pg036 say that it  always detects single, double, triple, and all odd-count bit errors in a frame, and even as well as most even-count bit errors ?

Can anyone explain this to me?

Thank you

 

 

 

 

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2 Replies
Xilinx Employee
Xilinx Employee
55 Views
Registered: ‎08-10-2008

回复: Why frame-based ECC method used always detects single, double, triple, and all odd-count bit errors in a frame?

It's how Hamming works:

https://en.wikipedia.org/wiki/Hamming_code

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Contributor
Contributor
42 Views
Registered: ‎04-18-2017

回复: Why frame-based ECC method used always detects single, double, triple, and all odd-count bit errors in a frame?


I'm sorry,i am still don't quiet understand. As far as i know, a code with distance k can detect but not correct (k − 1) errors. Such as (7, 3) Hamming code with distance of 4. Supervisory matrix is

 

微信图片_20190806225223.png

微信图片_20190806225228.png

微信图片_20190806225231.png

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