The Duursma zeta function is the coding-theoretic analog of the Artin–Weil zeta function of an algebraic curve over a finite field. This chapter explores some of the fascinating properties and conjectures …

A Crash Course on Coding Theory. Lecture notes from a course taught at the IBM Thomas J. Watson Research Center and the IBM Almaden Research Center. Papers (to be added)

Let T_n be the set of SDS-maps of sequential dynamical systems defined over the complete graph K_n in which all vertices have the same vertex function (defined using a set of two possible vertex states).

Abstract. Coding theory originated in the late 1940's and took its roots in engineering. However, it has developed and become a part of mathematics, and especially computer science. Codes were initially …

%I M1111 #92 May 08 2025 00:23:55 %S 1,1,1,2,2,4,8,16,20,40,72,144,256,512,1024,2048 %N The coding-theoretic function A (n,4). %C Since A (n,3) = A (n+1,4), A (n,3) gives essentially the same …

Mar 15, 2012 · In particular, we show that the orthogonal dimension of the critical orbital sets, i.e., the maximum cardinality of an orthogonal set of critical symmetrized tensors is the value of the coding …

Mar 25, 2026 · Coding theory, sometimes called algebraic coding theory, deals with the design of error-correcting codes for the reliable transmission of information across noisy channels. It makes use of …

Coding-Theoretic Formalization and Evaluation Abstract Over the last few decades, coding theory has closely associated and interplayed with cryptography in many aspects. An interesting example is the …

6.897 Fall 2001 : Pointer to course notes from last time the course was taught. A Crash Course on Coding Theory: Course notes of a fast-paced version of this course as taught at the IBM Thomas J. …

F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 674.