Outputs (2)

The MacWilliams Identity for the Skew Rank Metric (2023)
Journal Article
Friedlander, I., Bouganis, A., & Gadouleau, M. (online). The MacWilliams Identity for the Skew Rank Metric. Advances in Mathematics of Communications, https://doi.org/10.3934/amc.2023045

The weight distribution of an error correcting code is a crucial statistic in determining its performance. One key tool for relating the weight of a code to that of it's dual is the MacWilliams Identity, first developed for the Hamming metric. This i... Read More about The MacWilliams Identity for the Skew Rank Metric.

New Constructions and Bounds for Winkler's Hat Game (2015)
Journal Article
Gadouleau, M., & Georgiou, N. (2015). New Constructions and Bounds for Winkler's Hat Game. SIAM Journal on Discrete Mathematics, 29(2), 823-834. https://doi.org/10.1137/130944680

Hat problems have recently become a popular topic in combinatorics and discrete mathematics. These have been shown to be strongly related to coding theory, network coding, and auctions. We consider the following version of the hat game, introduced by... Read More about New Constructions and Bounds for Winkler's Hat Game.