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Dualities for finite abelian groups and applications to coding theory
Published: January 6, 2026 |
arXiv ID: 2601.03126v1
By: Jay A. Wood
Potential Business Impact:
Makes computer codes stronger and more reliable.
Business Areas:
A/B Testing
Data and Analytics
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.
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Page Count
32 pages
Category
Computer Science:
Information Theory