In field theory, a branch of mathematics, a primitive polynomial is the minimal polynomial of a primitive element of the finite extension field GF(pm… (More)

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2011

2011

- Grzegorz Borowik, Andrzej Paszkiewicz
- 2011 21st International Conference on Systems…
- 2011

The paper presents a hardware accelerator that could be used to generate irreducible primitive polynomials with coefficients over… (More)

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2010

2010

Low-Density Parity-Check (LDPC) code is a class of error-correcting codes which have limited capacity. For long code lengths… (More)

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2008

2008

- Donald Mills
- 2008

Let Fq denote the finite field of q elements, q = p r for prime p and positive integer r. A monic polynomial f(x) = x+ ∑n i=1 fix… (More)

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2006

2006

The Hansen-Mullen Primitivity Conjecture (HMPC) (1992) asserts that, with some (mostly obvious) exceptions, there exists a… (More)

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2003

2003

- Shuqin Fan, Wenbao Han
- Applicable Algebra in Engineering, Communication…
- 2003

Let F q be a finite field of characteristic two. We prove that for any given element a F q , there exists a primitive polynomial… (More)

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2001

2001

- Kishan Chand Gupta, Subhamoy Maitra
- ICICS
- 2001

Linear Feedback Shift Registers (LFSR) are important building blocks in stream cipher systems. The connection polynomials of the… (More)

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1996

1996

- Wen Bao Han
- Math. Comput.
- 1996

For n ≥ 7, we prove that there always exists a primitive polynomial of degree n over a finite field Fq (q odd) with the first and… (More)

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1995

1995

- Michael Kalkbrener
- Applicable Algebra in Engineering, Communication…
- 1995

Primitive polynomial remainder sequences (pprs) are more than a tool for computing gcd's; the content computations in the course… (More)

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1990

1990

- Afaq Ahmad, N. K. Nanda, K. Garg
- IEEE Design & Test of Computers
- 1990

It is shown that in testing technique based on linear-feedback shift registers, the use of primitive polynomials in a signature… (More)

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1985

1985

- Richard A. Games
- Discrete Applied Mathematics
- 1985

The periodic crosscorrelation function of an M-sequence and a GMW-sequence that have been constructed from the same primitive… (More)

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