Artikel
Lizenziert
Nicht lizenziert
Erfordert eine Authentifizierung
Positive integer solutions of systems of linear equations and polynomials of small weight divisible by (1 − x)r
Veröffentlicht/Copyright:
2. September 2014
Abstract
An upper estimate for the norm of some positive integer solution of an arbitrary system of linear homogeneous equations with integer coefficients with nonempty set of positive integer solutions is obtained. This estimate is used to estimate from above the norm of a vector in which the components are powers of binomialswhose product is a difference polynomial of minimal possibleweight. The last result can be applied in the theory of beam steerable antenna arrays
Keywords : positive integer solutions of systems of linear equations; polynomials of small weight; antenna arrays
Published Online: 2014-9-2
Published in Print: 2014-6-1
© 2014 by Walter de Gruyter Berlin/Boston
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Artikel in diesem Heft
- Frontmatter
- Lower estimate of the square-to-linear ratio for regular Peano curves
- Properties of polynomials of periodic functions and the complexity of periodicity detection by the Boolean function polynomial
- On uniqueness of alphabetical decoding of ø-regular languages
- On cardinality of bigram languages
- On the distance from permutations to the union of all imprimitive groups with identical parameters of imprimitivity systems
- Positive integer solutions of systems of linear equations and polynomials of small weight divisible by (1 − x)r
Schlagwörter für diesen Artikel
positive integer solutions of systems of linear equations;
polynomials of small weight;
antenna arrays
Artikel in diesem Heft
- Frontmatter
- Lower estimate of the square-to-linear ratio for regular Peano curves
- Properties of polynomials of periodic functions and the complexity of periodicity detection by the Boolean function polynomial
- On uniqueness of alphabetical decoding of ø-regular languages
- On cardinality of bigram languages
- On the distance from permutations to the union of all imprimitive groups with identical parameters of imprimitivity systems
- Positive integer solutions of systems of linear equations and polynomials of small weight divisible by (1 − x)r
