Details:
Title | The Solution Module (of N-Dimensional Sequences) of an Ideal Containing
(X_1^(M_1) - 1, ... , X_n^(M_n) - 1) | Author(s) | Graham H. Norton | Type | Technical Report, Misc | Abstract | We study the solution module (of n-dimensional sequences over a domain R) of an ideal containing (X_1^(M_1) - 1, ... ,X_n^(M_n) - 1) and generalize the known (1-dimensional) result for the solution space of an ideal of Fq [X] containing (X^M -1). We show how to compute a groebner basis for the solution module, and apply this to compute the dual and check ideal of a 2-dimensional cyclic code (without using roots of unity or a semisimplicity hypothesis). |
Language | English | Year | 2001 | Month | July | Edition | 0 | Translation |
No | Refereed |
No |
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