2 citations · 3 across the 20 of their papers we have counts for
23 papers · 1 filter
A New Invariant for Prime Alternating Knots From Error-Correcting Codes
Altan B. Kilic, Ruud Pellikaan, Alberto Ravagnan
This paper shows that the Alexander-Briggs code of a knot gives rise to a new invariant that distinguishes prime alternating knots. The restriction to prime alternating knots preci…
Capacity of Non-Separable Networks with Restricted Adversaries
Christopher Hojny, Altan B. Kılıç, Sascha Kurz +1
This paper investigates the problem of single-source multicasting over a communication network in the presence of restricted adversaries. When the adversary is constrained to opera…
The Star Product of Uniformly Random Codes
Johan Vester Dinesen, Ragnar Freij-Hollanti, Camilla Hollanti +2
We consider the problem of determining the expected dimension of the star product of two uniformly random linear codes that are not necessarily of the same dimension. We use a corr…
The Length of Functional Batch and PIR Codes
Altan B. Kilic, Alberto Ravagnani, Flavio Salizzoni
We consider the problem of computing the minimum length of functional batch and PIR codes of fixed dimension and for a fixed list size, over an arbitrary finite field. We recover,…
Multishot Capacity of Networks with Restricted Adversaries
Giuseppe Cotardo, Gretchen L. Matthews, Alberto Ravagnani +1
We investigate adversarial network coding and decoding, focusing on the multishot regime and when the adversary is restricted to operate on a vulnerable region of the network. Erro…
On the Parameters of Codes for Data Access
Altan B. Kilic, Alberto Ravagnani, Emina Soljanin
This paper studies two crucial problems in the context of coded distributed storage systems directly related to their performance: 1) for a fixed alphabet size, determine the minim…