On conjugacy classes of subgroups of the general linear group and cyclic orbit codes

Orbit codes are a family of codes employable for communications on a random linear network coding channel. The paper focuses on the classification of these codes. We start by classifying the conjugacy classes of cyclic subgroups of the general linear group. As a result, we are able to focus the study of cyclic orbit codes to a restricted family of them.Comment: 5 pages; Submitted to IEEE International Symposium on Information Theory (ISIT) 201

Computation of the weight distribution of CRC codes

In this article, we illustrate an algorithm for the computation of the weight distribution of CRC codes. The recursive structure of CRC codes will give us an iterative way to compute the weight distribution of their dual codes starting from some "representative” words. Thanks to MacWilliams' Theorem, the computation of the weight distribution of the dual codes can be easily brought back to that of CRC code

The Artist as Magician: Yeats, Joyce, and Tolkien

Examines the significance of symbolism of transcendence in several works by Yeats and Joyce, and ties this to theories of consolation and eucatastrophe in Tolkien’s “On Fairy-stories.” Finds Tolkien’s theory of sub-creation more fulfilling than their view of the artist as a creator

Cyclic Orbit Codes

In network coding a constant dimension code consists of a set of k-dimensional subspaces of F_q^n. Orbit codes are constant dimension codes which are defined as orbits of a subgroup of the general linear group, acting on the set of all subspaces of F_q^n. If the acting group is cyclic, the corresponding orbit codes are called cyclic orbit codes. In this paper we give a classification of cyclic orbit codes and propose a decoding procedure for a particular subclass of cyclic orbit codes.Comment: submitted to IEEE Transactions on Information Theor

\u3ci\u3eTill We Have Faces:\u3c/i\u3e From Idolatry to Revelation

Examines the “face” image and theme in Lewis’s novel and relates it to the use of the same image in a much broader literary context, from Augustine to Oscar Wilde

The Neverending Story: Textual Happiness in \u3ci\u3eThe Lord of the Rings\u3c/i\u3e

Discusses endings and closure in The Lord of the Rings with reference to literary theories of endings in literature, and to Tolkien’s own “On Fairy-stories.