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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.03126 |
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| _version_ | 1866909982692212736 |
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| author | Wood, Jay A. |
| author_facet | Wood, Jay A. |
| contents | The choice of an isomorphism, a duality, between a finite abelian group $A$ and its character group allows one to define dual codes of additive codes over $A$. Properties of dualities and dual codes are studied, continuing work of Delsarte from 1973 and more recent work of Dougherty and his collaborators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_03126 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dualities for finite abelian groups and applications to coding theory Wood, Jay A. Information Theory Group Theory 20K01, 94B05 The choice of an isomorphism, a duality, between a finite abelian group $A$ and its character group allows one to define dual codes of additive codes over $A$. Properties of dualities and dual codes are studied, continuing work of Delsarte from 1973 and more recent work of Dougherty and his collaborators. |
| title | Dualities for finite abelian groups and applications to coding theory |
| topic | Information Theory Group Theory 20K01, 94B05 |
| url | https://arxiv.org/abs/2601.03126 |