Book contents
- Frontmatter
- PREFACE
- Contents
- CHAPTER 1 THE ORIGIN OF ERROR-CORRECTING CODES
- CHAPTER 2 FROM CODING TO SPHERE PACKING
- CHAPTER 3 FROM SPHERE PACKING TO NEW SIMPLE GROUPS
- APPENDIX 1 DENSEST KNOWN SPHERE PACKINGS
- APPENDIX 2 FURTHER PROPERTIES OF THE (24,12) GOLAY CODE AND THE RELATED STEINER SYSTEM S(5, 8, 24)
- APPENDIX 3 A CALCULATION OF THE NUMBER OF SPHERES WITH CENTERS IN Λ2 ADJACENT TO ONE, TWO, THREE AND FOUR ADJACENT SPHERES WITH CENTERS Λ2.
- APPENDIX 4 THE MATHIEU GROUP M24 AND THE ORDER OF M22
- APPENDIX 5 THE PROOF OF LEMMA 3.3
- APPENDIX 6 THE SPORADIC SIMPLE GROUPS
- BIBLIOGRAPHY
- INDEX
CHAPTER 3 - FROM SPHERE PACKING TO NEW SIMPLE GROUPS
- Frontmatter
- PREFACE
- Contents
- CHAPTER 1 THE ORIGIN OF ERROR-CORRECTING CODES
- CHAPTER 2 FROM CODING TO SPHERE PACKING
- CHAPTER 3 FROM SPHERE PACKING TO NEW SIMPLE GROUPS
- APPENDIX 1 DENSEST KNOWN SPHERE PACKINGS
- APPENDIX 2 FURTHER PROPERTIES OF THE (24,12) GOLAY CODE AND THE RELATED STEINER SYSTEM S(5, 8, 24)
- APPENDIX 3 A CALCULATION OF THE NUMBER OF SPHERES WITH CENTERS IN Λ2 ADJACENT TO ONE, TWO, THREE AND FOUR ADJACENT SPHERES WITH CENTERS Λ2.
- APPENDIX 4 THE MATHIEU GROUP M24 AND THE ORDER OF M22
- APPENDIX 5 THE PROOF OF LEMMA 3.3
- APPENDIX 6 THE SPORADIC SIMPLE GROUPS
- BIBLIOGRAPHY
- INDEX
Summary
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- Information
- Publisher: Mathematical Association of AmericaPrint publication year: 1983
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