Manuscript Topics

Since its inception by Shannon in 1948, the theory of error-correcting codes has been a central focus of mathematicians which were interested to apply discrete mathematics to computer science and electrical engineering. Coding theory lies naturally at the intersection of a large number of disciplines in pure and applied mathematics: algebra, number theory, probability, statistics, communication theory, discrete mathematics, combinatorics, complexity theory, and statistical physics are just but a few areas that have brought about very interesting applications in coding theory in recent years.

A non-exhaustive but specific list of topics includes:
• Ring alphabets: local rings, semilocal rings, Frobenius rings, non-unitary rings and so on.
• Prescribed symmetry: cyclic, quasi cyclic, twisted, quasi-twisted multi-twisted.
• Convolutional codes: MDS and MDP codes.
• Exotic metrics: Lee metric, homogeneous weight, poset metric.
• Codes and modular forms: construction of lattices from codes, theta series identities.

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