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URLhttps://stackoverflow.com/questions/26256488/error-correction-codes-for-correcting-4-error-bits
Last Crawled2025-10-19 11:13:30 (5 months ago)
First Indexed2015-07-13 16:45:59 (10 years ago)
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Meta TitleError correction codes for correcting 4 error bits - Stack Overflow
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suppose you have corrupt string A=[ 1 0 1 1 1 0 1 0]; and original string B=[1 0 1 0 1 0 0 1]. step 1: check the parity of A and B: that are 1 and 0. step 2: parity is unmatched, so divide the string A and B by half and check the parity in first half. if parity is matched on first half leave that half and take the 2nd half, where there must be unmatched parity. For our case first half parity has not matched now leave the 2nd half. Take the first half and again apply divide and conquer method until you end up with 1 bit. Now you detect the error bit. so flip the error bit in A (i.e correct). step 3: permute the bitstrings A and B with same permutation function so that error locations are changed. now do again from step 1. repeat the procedure , until your desired error correction numbers.
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To gain full voting privileges, [earn reputation](https://stackoverflow.com/help/whats-reputation). Got it\! Go to help center to learn more # [Error correction codes for correcting 4 error bits](https://stackoverflow.com/questions/26256488/error-correction-codes-for-correcting-4-error-bits) [Ask Question](https://stackoverflow.com/questions/ask) Asked 11 years ago Modified [11 years ago](https://stackoverflow.com/questions/26256488/error-correction-codes-for-correcting-4-error-bits?lastactivity "2014-10-08 14:38:11Z") Viewed 625 times This question shows research effort; it is useful and clear 0 Save this question. Show activity on this post. I have a string message "Man" where each character is encoded to 8 bits. Therefore, a total of 24 bits will be transmitted. I am very interested to know what are the error correction codes that are not able to correct more than 4 error bits. More specifically, is there any error correction that can correct at most 4 errors ? Any help will be very appreciated. - [error-correction](https://stackoverflow.com/questions/tagged/error-correction "show questions tagged 'error-correction'") [Share](https://stackoverflow.com/q/26256488 "Short permalink to this question") Share a link to this question Copy link [CC BY-SA 3.0](https://creativecommons.org/licenses/by-sa/3.0/ "The current license for this post: CC BY-SA 3.0") [Improve this question](https://stackoverflow.com/posts/26256488/edit) Follow Follow this question to receive notifications [edited Oct 8, 2014 at 14:38](https://stackoverflow.com/posts/26256488/revisions "show all edits to this post") Christina[Christina](https://stackoverflow.com/users/2976116/christina) asked Oct 8, 2014 at 12:05 [![Christina's user avatar](https://www.gravatar.com/avatar/222ad830e5a888763bdb830b81f51391?s=64&d=identicon&r=PG&f=y&so-version=2)](https://stackoverflow.com/users/2976116/christina) [Christina](https://stackoverflow.com/users/2976116/christina)Christina 9351717 silver badges4343 bronze badges 3 - one easy way of error correction is BINARY Search method by checking parities.why you want to correct only 4 errors? Hum – [Hum](https://stackoverflow.com/users/3744763/hum "484 reputation") 2014-10-08 12:12:23 +00:00 [Commented Oct 8, 2014 at 12:12](https://stackoverflow.com/questions/26256488/error-correction-codes-for-correcting-4-error-bits#comment107194198_26256488) - Yes I am interested to use a non efficient error correction. Do you know any code that can correct only 4 bits ? Christina – [Christina](https://stackoverflow.com/users/2976116/christina "935 reputation") 2014-10-08 12:13:41 +00:00 [Commented Oct 8, 2014 at 12:13](https://stackoverflow.com/questions/26256488/error-correction-codes-for-correcting-4-error-bits#comment107194199_26256488) - 1 Why is this tagged `image-processing`? Unapiedra – [Unapiedra](https://stackoverflow.com/users/461597/unapiedra "16,468 reputation") 2014-10-08 14:29:09 +00:00 [Commented Oct 8, 2014 at 14:29](https://stackoverflow.com/questions/26256488/error-correction-codes-for-correcting-4-error-bits#comment41193954_26256488) [Add a comment](https://stackoverflow.com/questions/26256488/error-correction-codes-for-correcting-4-error-bits "Use comments to ask for more information or suggest improvements. Avoid answering questions in comments.") \| ## 1 Answer 1 Sorted by: [Reset to default](https://stackoverflow.com/questions/26256488/error-correction-codes-for-correcting-4-error-bits?answertab=scoredesc#tab-top) This answer is useful 1 Save this answer. Show activity on this post. suppose you have corrupt string A=\[ 1 0 1 1 1 0 1 0\]; and original string B=\[1 0 1 0 1 0 0 1\]. step 1: check the parity of A and B: that are 1 and 0. step 2: parity is unmatched, so divide the string A and B by half and check the parity in first half. if parity is matched on first half leave that half and take the 2nd half, where there must be unmatched parity. For our case first half parity has not matched now leave the 2nd half. Take the first half and again apply divide and conquer method until you end up with 1 bit. Now you detect the error bit. so flip the error bit in A (i.e correct). step 3: permute the bitstrings A and B with same permutation function so that error locations are changed. now do again from step 1. repeat the procedure , until your desired error correction numbers. [Share](https://stackoverflow.com/a/26256846 "Short permalink to this answer") Share a link to this answer Copy link [CC BY-SA 3.0](https://creativecommons.org/licenses/by-sa/3.0/ "The current license for this post: CC BY-SA 3.0") [Improve this answer](https://stackoverflow.com/posts/26256846/edit) Follow Follow this answer to receive notifications answered Oct 8, 2014 at 12:24 [![Hum's user avatar](https://www.gravatar.com/avatar/5e5a597e3be0e6d0f9b4601b6335bfc7?s=64&d=identicon&r=PG&f=y&so-version=2)](https://stackoverflow.com/users/3744763/hum) [Hum](https://stackoverflow.com/users/3744763/hum)Hum 48422 gold badges66 silver badges1111 bronze badges Sign up to request clarification or add additional context in comments. ## 3 Comments Add a comment [![](https://www.gravatar.com/avatar/222ad830e5a888763bdb830b81f51391?s=48&d=identicon&r=PG&f=y&so-version=2)](https://stackoverflow.com/users/2976116/christina) Christina [Christina](https://stackoverflow.com/users/2976116/christina) [Over a year ago](https://stackoverflow.com/questions/26256488/error-correction-codes-for-correcting-4-error-bits#comment41189337_26256846) What is the name of this error correction code? are you sure about this explanation ? 2014-10-08T12:29:24.153Z+00:00 0 Reply - Copy link [![](https://www.gravatar.com/avatar/5e5a597e3be0e6d0f9b4601b6335bfc7?s=48&d=identicon&r=PG&f=y&so-version=2)](https://stackoverflow.com/users/3744763/hum) Hum [Hum](https://stackoverflow.com/users/3744763/hum) [Over a year ago](https://stackoverflow.com/questions/26256488/error-correction-codes-for-correcting-4-error-bits#comment41189416_26256846) this is the good way to do, try this. it works, you can correct more than 20% erros if you want. 2014-10-08T12:31:54.993Z+00:00 0 Reply - Copy link [![](https://www.gravatar.com/avatar/222ad830e5a888763bdb830b81f51391?s=48&d=identicon&r=PG&f=y&so-version=2)](https://stackoverflow.com/users/2976116/christina) Christina [Christina](https://stackoverflow.com/users/2976116/christina) [Over a year ago](https://stackoverflow.com/questions/26256488/error-correction-codes-for-correcting-4-error-bits#comment41191475_26256846) Thank you, really it is a very interesting method 2014-10-08T13:28:10.58Z+00:00 0 Reply - Copy link Add a comment Start asking to get answers Find the answer to your question by asking. 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