On coset coverings of solutions of homogeneous cubic equations over finite fields (Q5934080)
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scientific article; zbMATH DE number 1605743
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On coset coverings of solutions of homogeneous cubic equations over finite fields |
scientific article; zbMATH DE number 1605743 |
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On coset coverings of solutions of homogeneous cubic equations over finite fields (English)
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18 June 2001
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Summary: Given a cubic equation \(x_1y_1z_1+x_2y_2z_2+\cdots +x_ny_nz_n=b\) over a finite field, it is necessary to determine the minimal number of systems of linear equations over the same field such that the union of their solutions exactly coincides with the set of solutions of the initial equation. The problem is solved for arbitrarily sized fields. A covering with almost minimum complexity is constructed.
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