#### Filter Results:

- Full text PDF available (4)

#### Publication Year

1997

2014

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

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Derek Jennings, Kevin Byard
- Discrete Mathematics
- 1997

- Derek Jennings, Kevin Byard
- Discrete Mathematics
- 1998

- Kevin Byard
- 2009

Qualified residue difference sets of power n are known to exist for n = 2, 4, 6, as do similar sets that include the zero element, while both classes of set are known to be nonexistent for n = 8 and n = 10. Both classes of set are proved nonexistent for n = 12.

- Kevin Byard
- Applied optics
- 2012

A class of flexible coded apertures, called index class apertures, is presented. The configurations are shown to possess similar properties to the geometric apertures of Gourlay and Stephen [Appl. Opt.22, 4042 (1983)], and it is demonstrated that the modified uniformly redundant arrays (MURAs) are a special case of the index class apertures. The apertures… (More)

Article history: Available online xxxx MSC: primary 05B10 secondary 11A15, 11T22, 11T24

Qualified difference sets (QDS) composed of unions of cyclotomic classes are discussed. An exhaustive computer search for such QDS and modified QDS that also possess the zero residue has been conducted for all powers n = 4, 6, 8 and 10. Two new families were discovered in the case n = 8 and some new isolated systems were discovered for n = 6 and n = 10.… (More)

- Kevin Byard
- 2014

Fast decoding algorithms are described for a number of established coded aperture systems. The fast decoding algorithms for all these systems offer significant reductions in the number of calculations required when reconstructing images formed by a coded aperture system and hence require less computation time to produce the images. The algorithms may… (More)

- ‹
- 1
- ›