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09/08/2023
A Construction of Asymptotically Optimal Cascaded CDC Schemes via Combinatorial Designs
A coded distributed computing (CDC) system aims to reduce the communicat...
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08/09/2023
New Constructions of Mutually Orthogonal Complementary Sets and Z-Complementary Code Sets Based on Extended Boolean Functions
Mutually orthogonal complementary sets (MOCSs) and Z-complementary code ...
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07/09/2023
Sharper Asymptotically Optimal CDC Schemes via Combinatorial Designs
Coded distributed computing (CDC) was introduced to greatly reduce the c...
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05/11/2023
Dimensions of some LCD BCH codes
In this paper, we investigate the first few largest coset leaders modulo...
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05/11/2023
A tight upper bound on the number of non-zero weights of a constacyclic code
For a simple-root λ-constacyclic code 𝒞 over 𝔽_q, let ⟨ρ⟩ and ⟨ρ,M⟩ be t...
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12/28/2022
Regular complete permutation polynomials over quadratic extension fields
Let r≥ 3 be any positive integer which is relatively prime to p and q^2≡...
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12/25/2022
A general construction of regular complete permutation polynomials
Let r≥ 3 be a positive integer and 𝔽_q the finite field with q elements....
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03/19/2021
A new method for constructing linear codes with small hulls
The hull of a linear code over finite fields is the intersection of the ...
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11/25/2019
Minimal Linear Codes Constructed from Functions
In this paper, we consider minimal linear codes in a general constructio...
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11/18/2019
The Parameters of Minimal Linear Codes
Let k≤ n be two positive integers and q a prime power. The basic questio...
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11/01/2019
Six constructions of asymptotically optimal codebooks via the character sums
In this paper, using additive characters of finite field, we find a code...
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08/08/2019
Optimal p-ary cyclic codes with two zeros
As a subclass of linear codes, cyclic codes have efficient encoding and ...
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06/13/2019
New constructions of asymptotically optimal codebooks via character sums over a local ring
In this paper, we present explicit description on the additive character...
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05/06/2019
Two constructions of asymptotically optimal codebooks via the trace functions
In this paper, we present two new constructions of complex codebooks wit...
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07/06/2018