# Equivalence classes of Niho bent functions

**Authors:** K. Abdukhalikov

arXiv: 1903.04450 · 2026-01-27

## TL;DR

This paper classifies Niho bent functions into equivalence classes based on their association with various hyperovals, providing a comprehensive understanding of their structural relationships.

## Contribution

It systematically describes the equivalence classes of Niho bent functions for all known hyperovals, advancing the classification framework.

## Key findings

- Complete classification of Niho bent functions for known hyperovals
- Identification of structural relationships among equivalence classes
- Enhanced understanding of bent function symmetries and properties

## Abstract

Equivalence classes of Niho bent functions are described for all known types of hyperovals.

## Full text

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## References

50 references — full list in the complete paper: https://tomesphere.com/paper/1903.04450/full.md

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Source: https://tomesphere.com/paper/1903.04450