Since their introduction, Brauer configuration algebras (BCAs) and their specialized messages have helped research in several fields of mathematics and sciences. This paper deals with a new perspective on using such algebras as a theoretical framework in classical cryptography and music theory. It is proved that some block cyphers define labeled Brauer configuration algebras. Particularly, the dimension of the BCA associated with a ciphertext-only attack of the Vigenere cryptosystem is given by the corresponding key's length and the captured ciphertext's coincidence index. On the other hand, historically, Bach's canons have been considered solved music puzzles. However, due to how Bach posed such canons, the question remains whether their solutions are only limited to musical issues. This paper gives alternative solutions based on the theory of Brauer configuration algebras to some of the puzzle canons proposed by Bach in his Musical Offering (BWV 1079) and the canon \^a 4 Voc: Perpetuus (BWV 1073). Specifically to the canon \^a 6 Voc (BWV 1076), canon 1 \^a2 (also known as the crab canon), and canon \^a4 Quaerendo Invenietis. These solutions are obtained by interpreting such canons as ciphertexts (via route and transposition cyphers) of some specialized Brauer messages. In particular, it is noted that the structure or form of the notes used in such canons can be described via the shape of the most used symbols in Bach's works.

翻译：自Brauer配置代数（BCA）及其特有消息引入以来，已在数学与科学多个领域的研究中发挥重要作用。本文探讨了将该类代数作为理论框架应用于经典密码学与音乐理论的新视角。研究表明，若干分组密码可定义带标记的Brauer配置代数。特别地，与维吉尼亚密码系统唯密文攻击相关联的BCA的维数，由对应密钥长度及所获密文的重合指数共同决定。另一方面，历史上巴赫卡农一直被视作已解谜题。然而，鉴于巴赫创作此类卡农的方式，其解答是否仅局限于音乐问题仍存疑问。本文基于Brauer配置代数理论，为巴赫《音乐的奉献》（BWV 1079）及四声部永久卡农（BWV 1073）中若干谜题卡农提供了替代性解答，具体涉及六声部卡农（BWV 1076）、二声部卡农1（亦称蟹形卡农）及四声部寻迹卡农。这些解答通过将此类卡农视为某些Brauer特有消息的密文（采用路径密码与换位密码）而获得。值得注意的是，此类卡农中音符的结构或形态可通过巴赫作品中最常用符号的形状加以描述。