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Open AccessArticle
High-Dimensional Cross Parity Codes and Parities from Lower Than (\({d-1}\))-Dimensional Hyperplanes
by
Jörg Keller
Jörg Keller
Faculty of Mathematics and Computer Science, FernUniversität in Hagen, 58084 Hagen, Germany
Computers 2025, 14(5), 161; https://doi.org/10.3390/computers14050161 (registering DOI)
Submission received: 6 November 2024
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Revised: 15 April 2025
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Accepted: 25 April 2025
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Published: 26 April 2025
Abstract
Cross parity codes are mostly used as 2-dimensional codes, and sometimes as 3-dimensional codes. We argue that higher dimensions can help to reduce the number of parity bits, and thus deserve further investigation. As a start, we investigate parities from -dimensional hyperplanes in d-dimensional parity codes, instead of parities from -dimensional hyperplanes as usual.
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MDPI and ACS Style
Keller, J.
High-Dimensional Cross Parity Codes and Parities from Lower Than (\({d-1}\))-Dimensional Hyperplanes. Computers 2025, 14, 161.
https://doi.org/10.3390/computers14050161
AMA Style
Keller J.
High-Dimensional Cross Parity Codes and Parities from Lower Than (\({d-1}\))-Dimensional Hyperplanes. Computers. 2025; 14(5):161.
https://doi.org/10.3390/computers14050161
Chicago/Turabian Style
Keller, Jörg.
2025. "High-Dimensional Cross Parity Codes and Parities from Lower Than (\({d-1}\))-Dimensional Hyperplanes" Computers 14, no. 5: 161.
https://doi.org/10.3390/computers14050161
APA Style
Keller, J.
(2025). High-Dimensional Cross Parity Codes and Parities from Lower Than (\({d-1}\))-Dimensional Hyperplanes. Computers, 14(5), 161.
https://doi.org/10.3390/computers14050161
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