Mathematics plays a crucial role in the study of cryptanalysis and breaking encryption codes. Cryptanalysis involves analyzing and deciphering encrypted messages without the knowledge of the encryption key. Mathematical principles such as number theory, probability theory, algebra, and computational complexity are used to develop and break encryption algorithms. Cryptanalysts use mathematical techniques to identify patterns, vulnerabilities, and weaknesses in encryption schemes, allowing them to exploit these weaknesses and decrypt the encoded information. Overall, mathematics provides the foundation for understanding, creating, and breaking encryption codes in the field of cryptanalysis.