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07/16/2021
Linear Programming Bounds for Almost-Balanced Binary Codes
We revisit the linear programming bounds for the size vs. distance trade...
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09/11/2020
Linear Shannon Capacity of Cayley Graphs
The Shannon capacity of a graph is a fundamental quantity in zero-error ...
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11/10/2019
Arıkan meets Shannon: Polar codes with near-optimal convergence to channel capacity
Let W be a binary-input memoryless symmetric (BMS) channel with Shannon ...
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05/10/2018
Beating Fredman-Komlós for perfect k-hashing
We say a subset C ⊆{1,2,...,k}^n is a k-hash code (also called k-separat...
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10/20/2017