#### Filter Results:

- Full text PDF available (11)

#### Publication Year

1985

2015

- This year (0)
- Last 5 years (2)
- Last 10 years (7)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

A covering array CA(N ; t, k, v) is an N × k array such that every N × t sub-array contains all t-tuples from v symbols at least once, where t is the strength of the array. Covering arrays are used to generate software test suites to cover all t-sets of component interactions. The particular case when t = 2 (pairwise coverage) has been extensively studied,… (More)

- Joseph L. Yucas
- Finite Fields and Their Applications
- 2006

We obtain an equivalent version of Carlitz’s formula for the number of monic irreducible polynomials of degree n and trace = 0 over a finite field via an integer recurrence. Similar expressions for the =0 case are also given. We also obtain formulas for the number of monic irreducible polynomials of degree n and prescribed constant term. © 2005 Elsevier… (More)

- Peter Horák, Nicholas C. K. Phillips, Walter D. Wallis, Joseph L. Yucas
- Ars Comb.
- 1997

- Robert W. Fitzgerald, Joseph L. Yucas
- Finite Fields and Their Applications
- 2007

- Joseph L. Yucas, Gary L. Mullen
- Discrete Mathematics
- 2004

- Robert W. Fitzgerald, Joseph L. Yucas
- WAIFI
- 2007

We give, over a finite field Fq, explicit factorizations into a product of irreducible polynomials, of the cyclotomic polynomials of order 3 · 2, the Dickson polynomials of the first kind of order 3 · 2 and the Dickson polynomials of the second kind of order 3 · 2 − 1.

- Claude Carlet, Joseph L. Yucas
- Des. Codes Cryptography
- 2005

- Robert W. Fitzgerald, Joseph L. Yucas
- Finite Fields and Their Applications
- 2005

We give new descriptions of the factors of Dickson polynomials over finite fields.

- Xiang-dong Hou, Gary L. Mullen, James A. Sellers, Joseph L. Yucas
- Finite Fields and Their Applications
- 2009

Reversed Dickson polynomials over finite fields are obtained from Dickson polynomials Dn(x, a) over finite fields by reversing the roles of the indeterminate x and the parameter a. We study reversed Dickson polynomials with emphasis on their permutational properties over finite fields. We show that reversed Dickson permutation polynomials (RDPPs) are… (More)

- Kenneth Hicks, Gary L. Mullen, Joseph L. Yucas, Ryan Zavislak
- The American Mathematical Monthly
- 2008