Primitive polynomial

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)
Wikipedia

Topic mentions per year

Topic mentions per year

1969-2018
051019692018

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2011
2011
The paper presents a hardware accelerator that could be used to generate irreducible primitive polynomials with coefficients over… (More)
Is this relevant?
2010
2010
Low-Density Parity-Check (LDPC) code is a class of error-correcting codes which have limited capacity. For long code lengths… (More)
Is this relevant?
2008
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)
  • table 1
  • table 2
  • table 3
  • table 4
  • table 5
Is this relevant?
2006
2006
The Hansen-Mullen Primitivity Conjecture (HMPC) (1992) asserts that, with some (mostly obvious) exceptions, there exists a… (More)
Is this relevant?
2003
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)
  • table 3
  • table 4
  • table 5
Is this relevant?
2001
2001
Linear Feedback Shift Registers (LFSR) are important building blocks in stream cipher systems. The connection polynomials of the… (More)
Is this relevant?
1996
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)
  • table 3.1
  • table 3.2
Is this relevant?
1995
1995
Primitive polynomial remainder sequences (pprs) are more than a tool for computing gcd's; the content computations in the course… (More)
Is this relevant?
1990
1990
It is shown that in testing technique based on linear-feedback shift registers, the use of primitive polynomials in a signature… (More)
  • figure 2
  • table 1
  • figure 1
Is this relevant?
1985
1985
The periodic crosscorrelation function of an M-sequence and a GMW-sequence that have been constructed from the same primitive… (More)
  • table 1
Is this relevant?