The question requires a widely used and highly secure hashing algorithm. The Secure Hash Algorithm (SHA) is a family of cryptographic hash functions standardized by the National Institute of Standards and Technology (NIST). Modern variants, such as SHA-256 and SHA-512 (part of the SHA-2 family) and the newer SHA-3, are designed to provide strong collision resistance and are used globally for digital signatures and data integrity verification. The other options are not cryptographic hashing algorithms. AES is for encryption, EAP is an authentication framework, and CRC32 is a non-secure error-detection code.

A. AES (Advanced Encryption Standard) is a symmetric block cipher used for data confidentiality, not a one-way hashing function for integrity.
C. EAP (Extensible Authentication Protocol) is an authentication framework used to pass authentication messages, not a hashing algorithm itself.
D. CRC32 (Cyclic Redundancy Check) is an error-detection code used to detect accidental data corruption, but it is not cryptographically secure against intentional modification.

1. National Institute of Standards and Technology (NIST). (2015). FIPS PUB 180-4

Secure Hash Standard (SHS). This publication specifies the Secure Hash Algorithms (SHA-1

SHA-224

SHA-256

SHA-384

SHA-512

etc.)

which are the standard for secure hashing.

Reference: Section 1

"Introduction

" page 1.

2. National Institute of Standards and Technology (NIST). (2001). FIPS PUB 197

Advanced Encryption Standard (AES). This document defines AES as a symmetric block cipher for encrypting and decrypting information

distinguishing it from a hash function.

Reference: Foreword

page ii.

3. Aboba

B.

Blunk

L.

Vollbrecht

J.

Carlson

J.

& Levkowetz

H. (2004). RFC 3748: Extensible Authentication Protocol (EAP). Internet Engineering Task Force (IETF). This document defines EAP as an authentication framework

not a specific algorithm for hashing.

Reference: Abstract

page 1.

4. Katz

J.

& Lindell

Y. (2014). Introduction to Modern Cryptography (2nd ed.). CRC Press. University-level cryptography textbooks clearly distinguish between cryptographic hash functions and error-correcting codes like CRCs. They state that CRCs are not collision-resistant and thus unsuitable for security applications.

Reference: Chapter 5

Section 5.1

"Defining Collision Resistance." (This section explains the properties that functions like CRC lack for cryptographic use).