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Also, the program has support for XML catalogs. An XML catalog is an XML file of a specific format that maps a schema definition string to an actual file name on the disk or web. Using catalogs allows the user to specify a web address for a schema but allows Oxygen to find a file form of the address if the catalog identifies one.
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The Hadamard code is a linear code, and all linear codes can be generated by a generator matrix .This is a matrix such that () = holds for all {,}, where the message is viewed as a row vector and the vector-matrix product is understood in the vector space over the finite field.
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In the extended binary Golay code, all code words have Hamming weights of 0, 8, 12, 16, or 24. Code words of weight 8 are called octads and code words of weight 12 are called dodecads. Octads of the code G 24 are elements of the S(5,8,24) Steiner system. There are 759 = 3 × 11 × 23 octads and 759 complements thereof.
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Let H be a Hadamard matrix of order n.The transpose of H is closely related to its inverse.In fact: = where I n is the n × n identity matrix and H T is the transpose of H.To see that this is true, notice that the rows of H are all orthogonal vectors over the field of real numbers and each have length .
The attacker knows ^, the generator matrix of an (,) code ^ that is combinatorially able to correct errors. The attacker may ignore the fact that C ^ {\displaystyle {\hat {C}}} is really the obfuscation of a structured code chosen from a specific family, and instead just use an algorithm for decoding with any linear code.