Classification of Certain Cyclic LCD Codes
We show that a necessary and sufficient condition for a cyclic code C of length N over a finite chain ring R (whose maximal ideal has nilpotence 2) to be an LCD code is that C = (f(x)), where f(X) is a self-reciprocal monic divisor of X^N − 1 in R[X] and x = X + (X^N − 1) in R[X]/(X^N − 1). A simila...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Alexandru Ioan Cuza University of Iasi
2024-06-01
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| Series: | Scientific Annals of Computer Science |
| Subjects: | |
| Online Access: | https://www.info.uaic.ro/en/sacs_articles/classification-of-certain-cyclic-lcd-codes/ |