# Subset Sums of Quadratic Residues over Finite Fields

## TL;DR

This paper presents an explicit combinatorial formula for counting the number of k-subset sums of quadratic residues in finite fields, advancing understanding of their additive properties.

## Contribution

It introduces a new explicit formula for subset sums of quadratic residues over finite fields, which was not previously available.

## Key findings

- Derived an explicit combinatorial formula for subset sums
- Provides new insights into additive properties of quadratic residues
- Enhances methods for analyzing finite field structures

## Abstract

In this paper, we derive an explicit combinatorial formula for the number of $k$-subset sums of quadratic residues over finite fields.