Abstract algebra, particularly through the use of Galois Fields, plays a significant role in various real-world applications, especially in the field of cryptography. Beyond cryptography, it is extensively utilized in digital modulation, encoding, and error correction. Key practical applications include technologies such as cell phones, WiFi routers, satellite TV, HDTV, and NASA's deep space probes like Pioneer and Voyager, as well as Mars probes. This highlights the importance of electrical engineering as a major practical field of mathematics, showcasing how abstract algebra underpins many modern technologies.
