Results 31 to 40 of about 1,807,959 (233)
Construction of q-ary(n,M,d)-codes in PG(2,16)
Wasit Journal for Pure Sciences, 2023 The goal of this paper was to study the applications of the projective plane PG (2, q) over a Galois field of order q in the projective q-ary (n, M, d) -code such that the parameters length of code n, the maximum value size code M, and the minimum ...
Dunya Fareeq Fendi +1 more
doaj +1 more source
The Weight Enumerator of Three Families of Cyclic Codes
, 2013 Cyclic codes are a subclass of linear codes and have wide applications in consumer electronics, data storage systems, and communication systems due to their efficient encoding and decoding algorithms.
Ding, Cunsheng +3 more
core +2 more sources
On the Hamming Distance of Repeated-Root Cyclic Codes of Length 6
IEEE Access, 2020 Let $p$ be an odd prime, $s$ , $m$ be positive integers such that $p^{m}\equiv 2 \pmod 3$ . In this paper, using the relationship about Hamming distances between simple-root cyclic codes and repeated-root cyclic codes, the Hamming distance of all ...
Hai Q. Dinh +2 more
doaj +1 more source
Polar Codes and a M-ary Modulation-Based OFDM-PLC System
Information, 2023 Power Line Communication (PLC) serves as a medium for communication over power lines, utilizing the existing power grid for information transmission. It offers a low-cost, highly scalable signal transmission method and has the potential to become the ...
Ziyi Wang, Yichen Wang, Rui Chen
doaj +1 more source
Multiset Combinatorial Batch Codes
, 2017 Batch codes, first introduced by Ishai, Kushilevitz, Ostrovsky, and Sahai, mimic a distributed storage of a set of $n$ data items on $m$ servers, in such a way that any batch of $k$ data items can be retrieved by reading at most some $t$ symbols from ...
Silberstein, Natalia +2 more
core +1 more source
Quantum Goethals-Preparata Codes
, 2008 We present a family of non-additive quantum codes based on Goethals and Preparata codes with parameters ((2^m,2^{2^m-5m+1},8)). The dimension of these codes is eight times higher than the dimension of the best known additive quantum codes of equal length
Grassl, Markus, Roetteler, Martin
core +2 more sources
Pediatric Blood &Cancer, EarlyView.ABSTRACT Purpose Retinoblastoma (RB) is the most common pediatric ocular cancer, yet population‐based data on survival and risk factors remain limited. This study aimed to describe survival in a large national RB cohort and identify predictors of death and complications.
Samuel Sassine +14 more
wiley +1 more source
Optimal quinary cyclic codes with minimum distance four
Tongxin xuebao, 2017 Cyclic codes are an extremely important subclass of linear codes.They are widely used in the communication systems and data storage systems because they have efficient encoding and decoding algorithm.Until now,how to construct the optimal ternary cyclic ...
Ye TIAN, Yu-qing ZHANG, Yu-pu HU
doaj +2 more sources
Generalized Twisted Gabidulin Codes
, 2018 Let $\mathcal{C}$ be a set of $m$ by $n$ matrices over $\mathbb{F}_q$ such that the rank of $A-B$ is at least $d$ for all distinct $A,B\in \mathcal{C}$. Suppose that $m\leqslant n$.
Lunardon, Guglielmo +2 more
core +1 more source
Information and Control, 1963 Summary: This paper presents a nontable-lookup technique for generating a class of \(n\)-dimensional \(m\)-ary Gray codes for every pair \((n,m)\) of integers. It does not seek to exhaust all such codes, but restricts itself to a class characterized by simple encoding and decoding schemes.
openaire +2 more sources