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A construction of Reed-Muller codes from boolean functions
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| dc.contributor.author | BERCEA, Bianca Liana | |
| dc.date.accessioned | 2024-12-07T16:32:02Z | |
| dc.date.available | 2024-12-07T16:32:02Z | |
| dc.date.issued | 2024 | |
| dc.identifier.citation | BERCEA, Bianca Liana. A construction of Reed-Muller codes from boolean functions. In: Electronics, Communications and Computing (IC ECCO-2024): The conference program and abstract book: 13th intern. conf., Chişinău, 17-18 Oct. 2024. Technical University of Moldova. Chişinău: Tehnica-UTM, 2024, p. 116. ISBN 978-9975-64-480-8 (PDF). | en_US |
| dc.identifier.isbn | 978-9975-64-480-8 | |
| dc.identifier.uri | http://repository.utm.md/handle/5014/28772 | |
| dc.description | Only Abstract | en_US |
| dc.description.abstract | Boolean functions have important applications in cryptography and coding theory. A famous class of binary codes derived from Boolean functions are the Reed-Muller (RM) codes. These were defined by Reed, and Muller built the way of decoding and implicitly detecting and correcting errors. One of these codes (RM(1,5)) was used in 1969 by the Mariner probe to transmit images from the Moon. Each pixel in the image was assigned one of 26 = 64 degrees of shade, and the six bits of information were encoded in a word of length 32. The RM(1,5) code can correct up to 7 independent errors. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Technical University of Moldova | en_US |
| dc.relation.ispartofseries | Electronics, Communications and Computing (IC ECCO-2024): 13th intern. conf., 17-18 Oct. 2024; | |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
| dc.subject | boolean functions | en_US |
| dc.subject | Reed-Muller codes | en_US |
| dc.subject | cryptography | en_US |
| dc.title | A construction of Reed-Muller codes from boolean functions | en_US |
| dc.type | Article | en_US |
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2024
The 13th International Conference on Electronics, Communications and Computing (IC ECCO-2024)
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