Connections between Linear Complementary Dual Codes, Permanents and Geometry

Connections between Linear Complementary Dual Codes, Permanents and Geometry

Linear codes with complementary duals, or LCD codes, have recently been applied to side-channel and fault injection attack-resistant cryptographic countermeasures. We explain that over characteristic two fields, they exist whenever the permanent of any generator matrix is non-zero. Alternatively, in...

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Bibliographic Details
Main Authors: Adel N. Alahmadi, Husain S. Alhazmi, Hatoon Shoaib, David G. Glynn, Saeed Ur Rehman, Patrick Solé
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Mathematics
Subjects:
error-correcting code
invariant
rectangular matrix
permanent
complementary code
geometric code
Online Access:https://www.mdpi.com/2227-7390/11/12/2774

Internet

https://www.mdpi.com/2227-7390/11/12/2774

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