The nonlinear complexity of level sequences over \(\mathbb Z/(4)\) (Q814766)
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scientific article; zbMATH DE number 5004388
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The nonlinear complexity of level sequences over \(\mathbb Z/(4)\) |
scientific article; zbMATH DE number 5004388 |
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The nonlinear complexity of level sequences over \(\mathbb Z/(4)\) (English)
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7 February 2006
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The authors investigate the issue of determining the number of bits required to uniquely determine a primitive sequence which is related to primitive polynomials over \(\text{GF}(2^2)\). They provide precise upper bounds on the nonlinear complexity of primitive polynomials which are trinomials over the Galois field of two elements. A corollary of these results is that the nonlinear complexity is much smaller than the linear complexity.
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integer residue ring
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primitive polynomial
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linear recurring sequence
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linear complexity
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nonlinear complexity
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