Exotic complex Hadamard matrices and their equivalence
نویسندگان
چکیده
منابع مشابه
Parametrizing complex Hadamard matrices
Abstract. The purpose of this paper is to introduce new parametric families of complex Hadamard matrices in two different ways. First, we prove that every real Hadamard matrix of order N ≥ 4 admits an affine orbit. This settles a recent open problem of Tadej and Życzkowski [11], who asked whether a real Hadamard matrix can be isolated among complex ones. In particular, we apply our construction...
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Several classes of structured matrices (e.g., the Hadamard-Sylvester matrices and the pseudo-noise matrices) are used in the design of error-correcting codes. In particular, the columns of matrices belonging to the above two matrix classes are often used as codewords. In this paper we show that the two above classes essentially coincide: the pseudo-noise matrices can be obtained from the Hadama...
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ژورنال
عنوان ژورنال: Cryptography and Communications
سال: 2010
ISSN: 1936-2447,1936-2455
DOI: 10.1007/s12095-010-0021-3