On ℤ4-linear codes with the parameters of Reed-Muller codes
Problems of Information Transmission
On Rank and Kernel of Z4-Linear Codes
ICMCTA '08 Proceedings of the 2nd international Castle meeting on Coding Theory and Applications
Kernel Dimension for Some Families of Quaternary Reed-Muller Codes
Mathematical Methods in Computer Science
Rank for Some Families of Quaternary Reed-Muller Codes
AAECC-18 '09 Proceedings of the 18th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Construction of Z4-linear Reed-Muller codes
IEEE Transactions on Information Theory
$${{{\mathbb Z}_2}{{\mathbb Z}_4}}$$ -linear codes: generator matrices and duality
Designs, Codes and Cryptography
Generalized Reed---Muller codes over $${\mathbb{Z}_q}$$
Designs, Codes and Cryptography
Quaternary Plotkin constructions and quaternary Reed-Muller codes
AAECC'07 Proceedings of the 17th international conference on Applied algebra, algebraic algorithms and error-correcting codes
$${\mathbb{Z}_2\mathbb{Z}_4}$$-linear codes: rank and kernel
Designs, Codes and Cryptography
| Hi-index | 754.90 |
The class of quaternary Reed-Muller codes is introduced as a generalization of Reed-Muller codes to Z4-linear codes. Properties of this class of codes are established including the rank and kernel of the Gray map image of codes in this class. The class includes all Z4-linear Kerdock-like and Preparata-like codes.