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In the new era of technology and advanced communications, coding theory and cryptography play a particularly significant role with a huge amount of research being done in both areas. This book presents some of that research, authored by prominent experts in the field. The first part of the book covers error-correcting codes, automorphism groups of codes, the key equation for codes from order domains, codes over rings, theta functions of certain codes, etc; the second part contains articles on cryptography - small dimensional varieties, Jacobians of curves, theta functions of hyperelliptic curves, elliptic curve cryptography, and so on. The list of well-known authors includes J Little, R Scheidler, A Stein, V Ustimenko, D Joyner, T Shaska, M J Jacobson, M E O'Sulivan, A Ksir, W Travis, M Borges-Quintana, M A Borges-Trenard, E Martinez-Moro, C Shor, I G Bouyukliev, T Ward, J L Kim, X D Hou, et al.