DocumentCode
2627059
Title
On new quaternary Reed-Muller codes
Author
Pujol, Jaume ; Rifa, Josep ; Eva, Faina I Solov
Author_Institution
Univ. Autonoma de Barcelona, Barcelona
fYear
2008
fDate
21-25 July 2008
Firstpage
16
Lastpage
19
Abstract
Additive (Plotkin type) constructions are considered and used to obtain new families of additive codes. Applying these constructions new families of quaternary Reed-Muller codes are presented such that after using the Gray map the obtained codes have the same parameters as the classical binary linear Reed-Muller codes. To make more evident the duality relationships in the constructed families the concept of Kronecker inner product is introduced.
Keywords
Gray codes; Reed-Muller codes; binary codes; product codes; Gray map; Kronecker inner product; additive codes; binary linear Reed-Muller codes; quaternary Reed-Muller codes; Additives; Binary codes; Error correction; Error correction codes; Hamming weight; Linear code; Mathematics; Region 8; Vectors; Zinc;
fLanguage
English
Publisher
ieee
Conference_Titel
Computational Technologies in Electrical and Electronics Engineering, 2008. SIBIRCON 2008. IEEE Region 8 International Conference on
Conference_Location
Novosibirsk
Print_ISBN
978-1-4244-2133-6
Electronic_ISBN
978-1-4244-2134-3
Type
conf
DOI
10.1109/SIBIRCON.2008.4602620
Filename
4602620
Link To Document