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- Stephen D. Cohen
- Discrete Mathematics
- 1990

- Catherine Ann Matthews, Natasha Reid, Viswanathan Ramakrishnan, Kathryn Hull, Stephen D. Cohen
- American journal of obstetrics and gynecology
- 2010

OBJECTIVE
We sought to determine the differential rates and complications of hysterectomy type in the year prior to and following the introduction of robotic technology.
STUDY DESIGN
This was a retrospective chart review of 461 hysterectomies performed from July 2007 through June 2008 (period 1) and July 2008 through June 2009 (period 2) at Virginia… (More)

- 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 irreducible reciprocal polynomials o f degree n2 m (m = 1, 2, 3 . . . . ) over GF(q). It is the analog for fields of odd order of constructions of Wiedemann and of Meyn over GF(2). We also deduce iterated presenn2** tations of GF(q ).

- Stephen D. Cohen
- Finite Fields and Their Applications
- 2006

The Hansen-Mullen Primitivity Conjecture (HMPC) (1992) asserts that, with some (mostly obvious) exceptions, there exists a primitive polynomial of degree nover any finite fieldwith any coefficient arbitrarily prescribed. This has recently been provedwhenever n ≥ 9. It is also known to be true when n ≤ 3.We show that there exists a primitive polynomial of… (More)

The existence of a primitive free (normal) cubic x3− ax2 + cx− b over a finite field F with arbitrary specified values of a (6= 0) and b (primitive) is guaranteed. This is the most delicate case of a general existence theorem whose proof is thereby completed.

- Stephen D. Cohen, Sartaj Ul Hasan, Daniel Panario, Qiang Wang
- ArXiv
- 2015

We consider the problem of enumerating the number of irreducible transformation shift registers. We give an asymptotic formula for the number of irreducible transformation shift registers in some special cases. Moreover, we derive a short proof for the exact number of irreducible transformation shift registers of order two using a recent generalization of a… (More)

- Anthony G. Charles, Stephen D. Cohen, Michael B. Kass, Rafael Richman
- American journal of obstetrics and gynecology
- 1970

- Stephen D. Cohen
- Finite Fields and Their Applications
- 2005

Progress over the past decade is surveyed concerning explicit existence and construction theorems on irreducible, primitive and normal polynomials. © 2005 Elsevier Inc. All rights reserved.

- Stephen D. Cohen, Dirk Hachenberger
- Applicable Algebra in Engineering, Communication…
- 1999

Let E be a finite degree extension over a finite field F = GF(q), G the Galois group of E over F and let a∈F be nonzero. We prove the existence of an element w in E satisfying the following conditions: - w is primitive in E, i.e., w generates the multiplicative group of E (as a module over the ring of integers). - the set {w g ∣g∈G} of conjugates of w under… (More)