Several classes of linear codes with a few weights from defining sets over \(\mathbb {F}_p+u\mathbb {F}_p\)
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Publication:1755989
DOI10.1007/S10623-018-0478-1zbMath1403.94110OpenAlexW2799391498MaRDI QIDQ1755989
Publication date: 11 January 2019
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-018-0478-1
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)
Related Items (10)
Linear codes from defining sets over \(\mathbb{F}_p + u\mathbb{F}_p\) and their applications ⋮ Minimal linear codes from defining sets over \(\mathbb{F}_p + u \mathbb{F}_p\) ⋮ Gaussian sums, hyper Eisenstein sums and Jacobi sums over a local ring and their applications ⋮ Weight distribution of double cyclic codes over \(\mathbb{F}_q + u \mathbb{F}_q\) ⋮ Weight distributions of generalized quasi-cyclic codes over \(\mathbb{F}_q + u \mathbb{F}_q\) ⋮ Constant composition codes as subcodes of linear codes ⋮ Weight distributions and weight hierarchies of two classes of binary linear codes ⋮ Weight distributions and weight hierarchies of a family of \(p\)-ary linear codes ⋮ Linear codes with eight weights over \(\mathbb{F}_p+u\mathbb{F}_p\) ⋮ Weight distribution of double cyclic codes over Galois rings
Cites Work
- Unnamed Item
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- Unnamed Item
- Complete weight enumerators of some linear codes and their applications
- Complete weight enumerators of some cyclic codes
- A class of three-weight linear codes and their complete weight enumerators
- Complete weight enumerators of a family of three-weight linear codes
- How to build robust shared control systems
- Complete weight enumerators of a class of three-weight linear codes
- A coding theory construction of new systematic authentication codes
- The linear programming bound for codes over finite Frobenius rings
- Construction of one-Lee weight and two-Lee weight codes over \(\mathbb F_p+v\mathbb F_p\)
- A class of three-weight and five-weight linear codes
- On the complete weight enumerators of some reducible cyclic codes
- A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing
- Linear Codes From Some 2-Designs
- Hamming Weights of the Duals of Cyclic Codes With Two Zeros
- A class of low-rate nonlinear binary codes
- Linear Codes From Perfect Nonlinear Mappings and Their Secret Sharing Schemes
- Monomial and quadratic bent functions over the finite fields of odd characteristic
- On constant-composition codes over Z/sub q/
- A Generic Construction of Cartesian Authentication Codes
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- A class of optimum nonlinear double-error-correcting codes
- Coding and Combinatorics
- Complete weight enumerators of a class of linear codes
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