In south Kilkenny, where Duiske stream joins the river Barrow at Graiguenamanagh, lies one of Ireland's many Norman-Cistercian abbeys. Song of Duiske is a novella set amongst this monastic community in the year 1304, a century after the abbey's foundation. It evokes the textures and rhythms of a medieval religious settlement, its peaceful routines as well as occasional trials, and celebrates with quiet lyricism the seasons and their solaces, 'the open sky, the fields and the woods'.

In this lyrical and compelling collection of tales of the quotidian, John A. Ryan paints a sincere picture of Ireland, it’s environment and people. His delicate awareness of the world around him is reflected in every paragraph of these poetic and contemplative pieces. Each is infused with a sense of mindfulness, slowness and the almost divine nature of the small and the commonplace, reminding the reader of the sacredness of life at the heart of the universe. Some of these twenty prose pieces, scattered across rural and small-town Ireland, France and the Mediterranean littoral, have already appeared in the pages of the Irish Press. Most are hitherto unseen. They partake of Benedict Kiely, Donal Ryan and the deep traditions of Irish traditional rural literature.

This scarce antiquarian book is included in our special Legacy Reprint Series. In the interest of creating a more extensive selection of rare historical book reprints, we have chosen to reproduce this title even though it may possibly have occasional imperfections such as missing and blurred pages, missing text, poor pictures, markings, dark backgrounds and other reproduction issues beyond our control. Because this work is culturally important, we have made it available as a part of our commitment to protecting, preserving and promoting the world's literature.

With An Epilogue By Gilbert K. Chesterton.

The study of Goppa codes is important since they are a very large class of codes, near to random codes. They are easy to generate and posses an interesting algebraic structure and a lot of good properties. The idea of equivalence of codes gives a precise definition on when two codes should be considered the same. In recent International Conferences, Goppa codes were shown to be inequivalent by the fact that they had distinct weight distributions. The question rose if inequivalent Goppa codes always have distinct weight distributions. In this book we have examined quintic binary irreducible Goppa codes of length 32 and we give examples which demonstrate that this is not the case. We demonstrate that it is possible for inequivalent Goppa codes to have the same weight distribution. This subject is concerned with devising efficient encoding and decoding procedures. This is very important in communication systems using recent technology to reduce and avoid eavesdropping.

This scarce antiquarian book is included in our special Legacy Reprint Series. In the interest of creating a more extensive selection of rare historical book reprints, we have chosen to reproduce this title even though it may possibly have occasional imperfections such as missing and blurred pages, missing text, poor pictures, markings, dark backgrounds and other reproduction issues beyond our control. Because this work is culturally important, we have made it available as a part of our commitment to protecting, preserving and promoting the world's literature.

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!