纠错码、球堆积与单群（影印版）
定价：￥135.00
作者： Thomas M. Thompson
出版社：高等教育出版社
- 高等教育出版社
- 9787040672657
- 1版
- 特殊
目录
目录
前辅文
CHAPTER 1. THE ORIGIN OF ERROR-CORRECTING CODES
1. An introduction to coding
2. The work of Hamming
3. The Hamming-Holbrook patent
4. The Hamming codes are linear
5. The work of Golay
6. The priority controversy
CHAPTER 2. From Coding to SPHERE PACKING
1. An introduction to sphere packing
2. The Leech connection
3. The origin of Leech's first packing in E24
4. The matrix for Leech's first packing
5. The Leech lattice
CHAPTER 3. From SPHERE PACKING TO NEW SIMPLE GROUPS
1. Is there an interesting group in Leech's lattice?
2. The hard sell of a simple group
3. Twelve hours on Saturday, six on Wednesday
4. The structure of 0
A. Introduction
B. More on Λ
C. The Mathieu groups
D. The group N
E. The order of 0
5. New simple groups
APPENDIX 1. DENSEST KNOWN SPHERE PACKINGS
APPENDIX 2. FURTHER PROPERTIES OF THE (12,24) 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 IN 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
前辅文
CHAPTER 1. THE ORIGIN OF ERROR-CORRECTING CODES
1. An introduction to coding
2. The work of Hamming
3. The Hamming-Holbrook patent
4. The Hamming codes are linear
5. The work of Golay
6. The priority controversy
CHAPTER 2. From Coding to SPHERE PACKING
1. An introduction to sphere packing
2. The Leech connection
3. The origin of Leech's first packing in E24
4. The matrix for Leech's first packing
5. The Leech lattice
CHAPTER 3. From SPHERE PACKING TO NEW SIMPLE GROUPS
1. Is there an interesting group in Leech's lattice?
2. The hard sell of a simple group
3. Twelve hours on Saturday, six on Wednesday
4. The structure of 0
A. Introduction
B. More on Λ
C. The Mathieu groups
D. The group N
E. The order of 0
5. New simple groups
APPENDIX 1. DENSEST KNOWN SPHERE PACKINGS
APPENDIX 2. FURTHER PROPERTIES OF THE (12,24) 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 IN 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
前辅文
CHAPTER 1. THE ORIGIN OF ERROR-CORRECTING CODES
1. An introduction to coding
2. The work of Hamming
3. The Hamming-Holbrook patent
4. The Hamming codes are linear
5. The work of Golay
6. The priority controversy
CHAPTER 2. From Coding to SPHERE PACKING
1. An introduction to sphere packing
2. The Leech connection
3. The origin of Leech's first packing in E24
4. The matrix for Leech's first packing
5. The Leech lattice
CHAPTER 3. From SPHERE PACKING TO NEW SIMPLE GROUPS
1. Is there an interesting group in Leech's lattice?
2. The hard sell of a simple group
3. Twelve hours on Saturday, six on Wednesday
4. The structure of 0
A. Introduction
B. More on Λ
C. The Mathieu groups
D. The group N
E. The order of 0
5. New simple groups
APPENDIX 1. DENSEST KNOWN SPHERE PACKINGS
APPENDIX 2. FURTHER PROPERTIES OF THE (12,24) 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 IN 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
前辅文
CHAPTER 1. THE ORIGIN OF ERROR-CORRECTING CODES
1. An introduction to coding
2. The work of Hamming
3. The Hamming-Holbrook patent
4. The Hamming codes are linear
5. The work of Golay
6. The priority controversy
CHAPTER 2. From Coding to SPHERE PACKING
1. An introduction to sphere packing
2. The Leech connection
3. The origin of Leech's first packing in E24
4. The matrix for Leech's first packing
5. The Leech lattice
CHAPTER 3. From SPHERE PACKING TO NEW SIMPLE GROUPS
1. Is there an interesting group in Leech's lattice?
2. The hard sell of a simple group
3. Twelve hours on Saturday, six on Wednesday
4. The structure of 0
A. Introduction
B. More on Λ
C. The Mathieu groups
D. The group N
E. The order of 0
5. New simple groups
APPENDIX 1. DENSEST KNOWN SPHERE PACKINGS
APPENDIX 2. FURTHER PROPERTIES OF THE (12,24) 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 IN 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
