On One Construction Method for Hadamard Matrices

Using a concatenated construction for -ary codes, we construct codes over in the Lee metrics which after a proper mapping to the binary alphabet (which in the case of is the well-known Gray map) become binary Hadamard codes (in particular, Hadamard matrices). Our construction allows to increase the...

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Bibliographic Details
Published in:	Problems of information transmission Vol. 58; no. 4; pp. 306 - 328
Main Authors:	Villanueva, M., Zinoviev, V. A., Zinoviev, D. A.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01-10-2022 Springer Nature B.V
Subjects:	639/301/1034/1035 639/925/357/995 Binary codes Codes Coding Theory Communications Engineering Construction Control Electrical Engineering Engineering Error correcting codes Information Storage and Retrieval Kernels Networks Systems Theory Hadamard matrix generalized concatenated construction Hadamard code Sylvester construction rank of an Hadamard matrix Kronecker product nonequivalent Hadamard matrices kernel dimension of an Hadamard matrix code in the Lee metric
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