Z2z4-Linear Codes
暫譯: Z2z4-線性碼
Borges, Joaquim, Fernández-Córdoba, Cristina, Pujol, Jaume
- 出版商: Springer
- 出版日期: 2022-07-01
- 售價: $5,850
- 貴賓價: 9.5 折 $5,558
- 語言: 英文
- 頁數: 155
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031054407
- ISBN-13: 9783031054402
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相關主題
商品描述
1 Introduction.- 2 ℤ2ℤ4-Additive and ℤ2ℤ4-Linear Codes.- 3 Duality of ℤ2ℤ4-Additive Codes.- 4 ℤ2ℤ4-Additive Self-Dual Codes.- 5 Linearity, Rank and Kernel.- 6 Families of ℤ2ℤ4-Additive Codes.- 7 ℤ2ℤ4-Additive Cyclic Codes.- 8 Encoding and Decoding ℤ2ℤ4-Linear Codes.- 9 Generalizations and Applications of ℤ2ℤ4-Additive Codes.
商品描述(中文翻譯)
1 引言.- 2 𝔽₂ 𝔽₄-加法碼.- 3 𝔽₂ 𝔽₄-加法碼的對偶性.- 4 𝔽₂ 𝔽₄-加法自對偶碼.- 5 線性、秩和核.- 6 𝔽₂ 𝔽₄-加法碼的家族.- 7 𝔽₂ 𝔽₄-加法循環碼.- 8 編碼和解碼 𝔽₂ 𝔽₄-線性碼.- 9 𝔽₂ 𝔽₄-加法碼的概括與應用.
作者簡介
Joaquim Borges was born in Catalonia in October 1965. He received the B.Sc. degree in Sciences in 1988 from the Universitat Autònoma de Barcelona (UAB) and the Ph.D. degree in Computer Science Engineering in 1998 from the same university. Since 1988, he has been with the Dept. of Information and Communications Engineering at the UAB, where he is currently Associate Professor. His research interests include subjects related to combinatorics, coding theory, and graph theory.
Cristina Fernández-Córdoba was born in Catalonia in 1977. She received her B.Sc. degree in Mathematics in 2000, and the Ph.D. degree in Computer Science in 2005 from the UAB. In 2000, she joined the Dpt. of Information and Communications Engineering (dEIC) at the UAB until 2008, when she joined the FECYT with a Fulbright grant. Since 2009, she has been at dEIC, where she is currently an Associate Professor.
Jaume Pujol was born in Catalonia in 1955. He received the B.Sc. degree in Mathematics in 1978, the B.Sc. degree in Computer Sciences in 1989 and the Ph.D. degree in Computer Science in 1995 from the UAB. Since 1988 he has been with the Dept. of Information and Communications Engineering at the UAB, as Assistant Professor, and was promoted to Associate Professor in 1996, until his retirement in 2016. His research interests include subjects related to combinatorics, algebra, coding theory, and graph theory.
Josep Rifà was born in Catalonia in July 1951. He received the Ph.D. in Computer Sciences in 1987 and since 1992 he has been a full professor at the UAB. He was the former Head of the Dpt. of Information and Communications Engineering at UAB as well as the former Vice-chairman of the Spanish Chapter of IT-IEEE. He has mainly worked in several projects of Spanish National R&D&I plan related to digital communications, error correcting codes, and cryptography.
Mercè Villanueva was born in Catalonia in 1972. She received the B.Sc. degree in Mathematics in 1994, the M.Sc. degree and Ph.D. degree in Computer Science in 1996 and 2001, respectively, from the UAB. In 1994, she joined the Dpt. of Information and Communications Engineering at the UAB, as an Assistant Professor, and was promoted to Associate Professor in 2002. Her research interests include subjects related to combinatorics, algebra, coding theory, and graph theory.
作者簡介(中文翻譯)
喬奎姆·博爾赫斯 (Joaquim Borges) 於1965年10月出生於加泰羅尼亞。他於1988年獲得巴薩隆納自治大學 (Universitat Autònoma de Barcelona, UAB) 的理學士學位,並於1998年獲得同一大學的計算機科學工程博士學位。自1988年以來,他一直在UAB的資訊與通信工程系任職,目前擔任副教授。他的研究興趣包括組合數學、編碼理論和圖論等相關主題。
克里斯蒂娜·費爾南德斯-科爾多巴 (Cristina Fernández-Córdoba) 於1977年出生於加泰羅尼亞。她於2000年獲得數學理學士學位,並於2005年獲得UAB的計算機科學博士學位。2000年,她加入UAB的資訊與通信工程系 (dEIC),直到2008年,當時她獲得富布萊特獎學金加入FECYT。自2009年以來,她一直在dEIC工作,目前擔任副教授。
哈梅·普霍爾 (Jaume Pujol) 於1955年出生於加泰羅尼亞。他於1978年獲得數學理學士學位,1989年獲得計算機科學理學士學位,並於1995年獲得UAB的計算機科學博士學位。自1988年以來,他一直在UAB的資訊與通信工程系任職,擔任助理教授,並於1996年晉升為副教授,直到2016年退休。他的研究興趣包括組合數學、代數、編碼理論和圖論等相關主題。
荷塞普·里法 (Josep Rifà) 於1951年7月出生於加泰羅尼亞。他於1987年獲得計算機科學博士學位,自1992年以來一直擔任UAB的正教授。他曾擔任UAB資訊與通信工程系主任,以及西班牙IT-IEEE分會的前副主席。他主要參與了與數位通信、錯誤更正碼和密碼學相關的西班牙國家研發計畫的多個項目。
梅爾塞·比利亞紐瓦 (Mercè Villanueva) 於1972年出生於加泰羅尼亞。她於1994年獲得數學理學士學位,並於1996年和2001年分別獲得UAB的計算機科學碩士學位和博士學位。1994年,她加入UAB的資訊與通信工程系,擔任助理教授,並於2002年晉升為副教授。她的研究興趣包括組合數學、代數、編碼理論和圖論等相關主題。