On double cyclic codes over $ \mathbb{Z}_2+u\mathbb{Z}_2 $
In this paper, we introduced double cyclic codes over $ R^r\times R^s $, where $ R = \mathbb{Z}_{2}+u\mathbb{Z}_{2} = \{0, 1, u, 1+u\} $ is the ring with four elements and $ u^2 = 0 $. We first determined the generator polynomials of $ R $-double cyclic codes for odd integers $ r $ and $ s $, then g...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024543?viewType=HTML |