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On the Problem of the Existence of a Square Matrix U Such That UUT = -I over Zpm

Sunghyu Han    

Resumen

Building-up construction is one of several methods for constructing self-dual codes. Recently, a new building-up construction method has been developed by S. Han, in which the existence of a square matrix U such that ??????=-?? U U T = - I is essential. In this paper, we completely solve the existence problem for U over Z???? Z p m , where p is an arbitrary prime number.

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