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05/04/2023
On the Closed-form Weight Enumeration of Polar Codes: 1.5d-weight Codewords
The weight distribution of error correction codes is a critical determin...
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04/24/2023
Fast Methods for Ranking Synthetic BECs
We gather existing methods that are used to compare and rank the BECs sy...
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08/09/2022
Consecutive k-out-of-n:F Systems Have Unbounded Roots
This article is studying the roots of the reliability polynomials of lin...
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02/17/2022
Generalized Inverse Based Decoding
The concept of Generalized Inverse based Decoding (GID) is introduced, a...
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11/12/2021
Generalized Convexity Properties and Shape Based Approximation in Networks Reliability
Some properties of generalized convexity for sets and for functions are ...
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03/19/2021
Bhattacharyya parameter of monomials codes for the Binary Erasure Channel: from pointwise to average reliability
Monomial codes were recently equipped with partial order relations, fact...
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04/08/2020
On recursively defined combinatorial classes and labelled trees
We define and prove isomorphisms between three combinatorial classes inv...
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03/27/2020
Tight Bounds on the Coeffcients of Consecutive k-out-of-n:F Systems
In this paper we compute the coefficients of the reliability polynomial ...
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12/06/2019
Cubic spline approximation of the reliability polynomials of two dual hammock networks
The property of preserving the convexity and concavity of the Bernstein ...
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11/04/2019
