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 For any n > 2, we construct central division algebras of exponent 2 and index 2n  
  over a field E, which are indecomposable over any odd degree extension of E and  
     which are sums of n + 1 quaternion algebras in the Brauer group of E. The     
   construction also allows to prove that any multiquadratic extension of degree   
    2^(n-1) over a field K becomes nonexcellent (in the sense of the theory of     
        quadratic forms) when K is replaced by a suitable field extension.         
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