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Trace codes over Z4, and Boolean functions.
- Source :
- Designs, Codes & Cryptography; Jun2019, Vol. 87 Issue 6, p1447-1455, 9p
- Publication Year :
- 2019
-
Abstract
- We construct trace codes over Z 4 based on Boolean functions and their support. The Lee weight distribution of these codes is studied by using the Walsh–Hadamard transform of the Boolean functions, and exponential character sums. We obtain few weights codes. In particular, bent and semi-bent functions give three-weight codes. [ABSTRACT FROM AUTHOR]
- Subjects :
- BOOLEAN functions
EXPONENTIAL sums
BENT functions
CIPHERS
Subjects
Details
- Language :
- English
- ISSN :
- 09251022
- Volume :
- 87
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Designs, Codes & Cryptography
- Publication Type :
- Academic Journal
- Accession number :
- 136258999
- Full Text :
- https://doi.org/10.1007/s10623-018-0542-x