Two Classes of Constacyclic Codes with Variable Parameters [(qm — 1 )/r, k, d]
Z Sun, C Ding, X Wang - IEEE Transactions on Information …, 2023 - ieeexplore.ieee.org
Constacyclic codes over finite fields are a family of linear codes and contain cyclic codes as
a subclass. Constacyclic codes are related to many areas of mathematics and outperform …
a subclass. Constacyclic codes are related to many areas of mathematics and outperform …
Shortened linear codes over finite fields
Y Liu, C Ding, C Tang - IEEE Transactions on Information …, 2021 - ieeexplore.ieee.org
The puncturing and shortening techniques are two important approaches to constructing
new linear codes from old ones. In the past 70 years, a lot of progress on the puncturing …
new linear codes from old ones. In the past 70 years, a lot of progress on the puncturing …
Random Shortening of Linear Codes and Applications
Random linear codes (RLCs) are well known to have nice combinatorial properties and near-
optimal parameters in many different settings. However, getting explicit constructions …
optimal parameters in many different settings. However, getting explicit constructions …
Private Information Retrieval Schemes Using Cyclic Codes
Abstract A Private Information Retrieval (PIR) scheme allows users to retrieve data from a
database without disclosing to the server information about the identity of the data retrieved …
database without disclosing to the server information about the identity of the data retrieved …
[PDF][PDF] Private Information Schemes Using Cyclic Codes.
A Private Information Retrieval (PIR) scheme allows users to retrieve data from a database
without disclosing to the server information about the identity of the data retrieved. A coded …
without disclosing to the server information about the identity of the data retrieved. A coded …
Unit -Simplex codes of type α and zero divisor -Simplex codes
J Mahalakshmi, J Prabu… - … in Combinatorics and …, 2023 - comb-opt.azaruniv.ac.ir
In this paper, we have punctured unit $\mathbb {Z} _q $-Simplex code and constructed a
new code called unit $\mathbb {Z} _q $-Simplex code of type $\alpha $. In particular, we find …
new code called unit $\mathbb {Z} _q $-Simplex code of type $\alpha $. In particular, we find …