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07/01/2023
Codes with Biochemical Constraints and Single Error Correction for DNA-Based Data Storage
In DNA-based data storage, DNA codes with biochemical constraints and er...
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06/05/2023
Explicit Construction of q-ary 2-deletion Correcting Codes with Low Redundancy
We consider the problem of efficient construction of q-ary 2-deletion co...
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05/22/2023
Constructions of k-uniform states in heterogeneous systems
A pure quantum state of n parties associated with the Hilbert space ^d_1...
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11/12/2022
A Lower Bound on the List-Decodability of Insdel Codes
For codes equipped with metrics such as Hamming metric, symbol pair metr...
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10/23/2022
Binary sequences with a low correlation via cyclotomic function fields with odd characteristics
Sequences with a low correlation have very important applications in com...
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08/30/2022
A new construction of nonlinear codes via algebraic function fields
In coding theory, constructing codes with good parameters is one of the ...
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08/09/2022
Good locally repairable codes via propagation rules
In classical coding theory, it is common to construct new codes via prop...
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07/12/2022
Upper bounds on maximum lengths of Singleton-optimal locally repairable codes
A locally repairable code is called Singleton-optimal if it achieves the...
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11/28/2021
Bounds and Constructions for Insertion and Deletion Codes
The present paper mainly studies limits and constructions of insertion a...
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11/05/2021
Maximally recoverable local reconstruction codes from subspace direct sum systems
Maximally recoverable local reconstruction codes (MR LRCs for short) hav...
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07/25/2021
Binary sequences with low correlation via cyclotomic function fields
Due to wide applications of binary sequences with low correlation to com...
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05/07/2021
Leakage-Resilient Secret Sharing with Constant Share Size
We consider the leakage resilience of AG code-based ramp secret sharing ...
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03/09/2021
A New Metric on Symmetric Group and Application to Block Permutation Codes
Permutation codes have received a great attention due to various applica...
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10/17/2020
Secure Weighted Aggregation in Federated Learning
Federated learning (FL) schemes enable multiple clients to jointly solve...
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08/26/2020
The group structures of automorphism groups of elliptic function fields over finite fields and their applications to optimal locally repairable codes
The automorphism group of an elliptic curve over an algebraically closed...
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07/24/2020
MPC-enabled Privacy-Preserving Neural Network Training against Malicious Attack
In the past decades, the application of secure multiparty computation (M...
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02/26/2020
Symmetric uncoded caching schemes with low subpacketization levels
Caching is a commonly used technique in content-delivery networks which ...
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12/20/2019
A new construction of nonlinear codes via rational function fields
It is well known that constructing codes with good parameters is one of ...
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11/19/2019
Optimal repairing schemes for Reed-Solomon codes with alphabet sizes linear in lengths under the rack-aware model
In modern practical data centers, storage nodes are usually organized in...
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09/08/2019
Explicit Constructions of Two-Dimensional Reed-Solomon Codes in High Insertion and Deletion Noise Regime
Insertion and deletion (insdel for short) errors are synchronization err...
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08/22/2019
Beating the probabilistic lower bound on perfect hashing
For an integer $q\ge 2$, a perfect $q$-hash code $C$ is a block code ove...
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08/05/2019
Constructive asymptotic bounds of locally repairable codes via function fields
Locally repairable codes have been investigated extensively in recent ye...
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06/24/2019
On List Decoding of Insertion and Deletion Errors
Insertion and deletion (Insdel for short) errors are synchronization err...
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06/24/2019
List Decoding of Insertion and Deletion Codes
Insertion and deletion (Insdel for short) errors are synchronization err...
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12/21/2018
A Construction of Optimal Frequency Hopping Sequence Set via Combination of Multiplicative and Additive Groups of Finite Fields
In literatures, there are various constructions of frequency hopping seq...
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11/22/2018
Construction of optimal locally recoverable codes and connection with hypergraph
Recently, it was discovered by several authors that a q-ary optimal loca...
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10/28/2018
Asymptotic Gilbert-Varshamov bound on Frequency Hopping Sequences
Given a q-ary frequency hopping sequence set of length n and size M with...
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10/28/2018
Asymptotic Gilbert-Varshamov bound on Frequency Hopping
Given a q-ary frequency hopping sequence set of length n and size M with...
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08/14/2018
Constructions of maximally recoverable local reconstruction codes via function fields
Local Reconstruction Codes (LRCs) allow for recovery from a small number...
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07/03/2018
How long can optimal locally repairable codes be?
A locally repairable code (LRC) with locality r allows for the recovery ...
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06/26/2018
New extension constructions of optimal frequency hopping sequence sets
In this paper, a general framework of constructing optimal frequency hop...
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06/23/2018
List Decodability of Symbol-Pair Codes
We investigate the list decodability of symbol-pair codes in the present...
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01/11/2018
Optimal locally repairable codes of distance 3 and 4 via cyclic codes
Like classical block codes, a locally repairable code also obeys the Sin...
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12/11/2017
Optimal locally repairable codes via elliptic curves
Constructing locally repairable codes achieving Singleton-type bound (we...
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08/03/2017