#### Filter Results:

- Full text PDF available (13)

#### Publication Year

1988

2017

- This year (5)
- Last 5 years (15)
- Last 10 years (23)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Lucien Haddad, Ivo G. Rosenberg
- Discrete Applied Mathematics
- 1989

- Lucien Haddad, Dietlinde Lau
- Multiple-Valued Logic and Soft Computing
- 2007

- Lucien Haddad, G. E. Simons
- ISMVL
- 2003

The connection between maximal caps (sometimes called complete caps) and certain binary codes called quasi-perfect codes is described. We provide a geometric approach to the foundational work of Davydov and Tombak who have obtained the exact possible sizes of large maximal caps. A new self-contained proof of the existence and the structure of the largest… (More)

- Aiden A. Bruen, Lucien Haddad, David L. Wehlau
- Des. Codes Cryptography
- 1998

Hill [6] showed that the largest cap in PG(5, 3) has cardinality 56. Using this cap it is easy to construct a cap of cardinality 45 in AG(5, 3). Here we show that the size of a cap in AG(5, 3) is bounded above by 48. We also give an example of three disjoint 45-caps in AG(5, 3). Using these two results we are able to prove that the Steiner triple system… (More)

- Charles J. Colbourn, Lucien Haddad, Václav Linek
- J. Comb. Theory, Ser. A
- 1997

A Steiner triple system of order v (briefly STS(v)) is a pair (X, B), where X is a v-element set and B is a collection of 3-subsets of X (triples), such that every pair of X is contained in exactly one triple of B. It is well known that a necessary and sufficient condition for a STS(v) to exist is that v#1 or 3 (mod 6). An r-coloring of a STS(v) is a map ,… (More)

- Lucien Haddad
- ISMVL
- 2009

- Lucien Haddad, Ivo G. Rosenberg
- ISMVL
- 1990

We show that, up to an automorphism, there is a unique independent set in PG(5,2) that meet every hyperplane in 4 points or more. Using this result, we show that PG(5,2) is a 5-chromatic STS. Moreover, we construct a 5-chromatic STS(v) for every admissible v ≥ 127.

- Lucien Haddad
- 2008

We show that Bose-Einstein condensates in a honeycomb optical lattice are described by a nonlinear Dirac equation in the long wavelength, mean field limit. Unlike nonlinear Dirac equations posited by particle theorists, which are designed to preserve the principle of relativity, i.e., Poincaré covariance, the nonlinear Dirac equation for Bose-Einstein… (More)