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cs.IT2022
Constructions and bounds for codes with restricted overlaps
Simon R. Blackburn, Navid Nasr Esfahani, Donald L. Kreher +1
Non-overlapping codes have been studied for almost 60 years. In such a code, no proper, non-empty prefix of any codeword is a suffix of any codeword. In this paper, we study codes…
cs.IT2022
The capacity of a finite field matrix channel
Simon R. Blackburn, Jessica Claridge
The Additive-Multiplicative Matrix Channel (AMMC) was introduced by Silva, Kschischang and Kötter in 2010 to model data transmission using random linear network coding. The input a…
math.CO2022
Permutations that separate close elements
Simon R. Blackburn
Let be a fixed integer with . For , define to be the distance between and when the elements of are written in a…