The cyclic redundancy check (CRC) is based on division in the ring of polynomials over the finite field GF(2) (the integers modulo 2), that is, theâ€¦Â (More)

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2015

2015

- Visal Chea, Miguel Vargas Martin, Ramiro Liscano
- 2015 IEEE Conference on Communications andâ€¦
- 2015

Wireless technology has become a main player in communication through its desirable mobility characteristic. However, like manyâ€¦Â (More)

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2013

2013

- Mao-Ching Chiu
- IEEE Communications Letters
- 2013

This letter proposes an alternative expression of polar codes using polynomial representations. Polynomial representations mayâ€¦Â (More)

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2013

2013

- Ryul Kim, Okhyon Song, Hyon-Chol Ri
- ArXiv
- 2013

Numerous results on self-reciprocal polynomials over finite fields have been studied. In this paper we generalize some of theseâ€¦Â (More)

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2010

2010

The measure of a monic polynomial is the product of the absolute value of the roots which lie outside and on the unit circle. Weâ€¦Â (More)

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2006

2006

We study the geometry, topology and Lebesgue measure of the set of monic conjugate reciprocal polynomials of fixed degree withâ€¦Â (More)

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2004

2004

- Christopher D. Sinclair
- Int. J. Math. Mathematical Sciences
- 2004

We study the distribution of Mahlerâ€™s measures of reciprocal polynomials with complex coefficients and bounded even degree. Weâ€¦Â (More)

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2003

2003

- Piroska Lakatos
- 2003

The first author [1] proved that all zeros of the reciprocal polynomial Pm(z) = m âˆ‘ k=0 Akz k (z âˆˆ C), of degree m â‰¥ 2 with realâ€¦Â (More)

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2003

2003

We classify certain automorphisms of an even unimodular lattice L with fixed irreducible and unramified characteristic polynomialâ€¦Â (More)

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1994

1994

- Sridhar Lakshmanan
- IEEE Trans. Signal Processing
- 1994

In this paper, we investigate the robustness properties of univariate and multivariate reciprocal polynomials that are nonzero onâ€¦Â (More)

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1992

1992

- Stephen D. Cohen
- Des. Codes Cryptography
- 1992

For a finite field GF(q) of odd prime power order q, and n > 1, we construct explicitly a sequence of monic irreducibleâ€¦Â (More)

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