Z2Z4-Linear Codes

Author:   Joaquim Borges ,  Cristina Fernández-Córdoba ,  Jaume Pujol ,  Josep Rifà
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2022
ISBN:  

9783031054402


Pages:   245
Publication Date:   01 July 2022
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Z2Z4-Linear Codes


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Author:   Joaquim Borges ,  Cristina Fernández-Córdoba ,  Jaume Pujol ,  Josep Rifà
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2022
Weight:   0.559kg
ISBN:  

9783031054402


ISBN 10:   3031054407
Pages:   245
Publication Date:   01 July 2022
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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. 

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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.

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