Results 91 to 100 of about 1,030 (123)
Some of the next articles are maybe not open access.
Some New Quantum Codes from Constacyclic BCH Codes
International Journal of Theoretical PhysicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Ping +3 more
openaire +2 more sources
IEEE Transactions on Information Theory, 1994
Summary: A class of \(q^ m\)-ary constacyclic codes is defined which has the property that the \(q\)-ary image is equivalent to a class of shortened cyclic codes. This description leads to the construction of nonlinear codes. As an example one can construct nonlinear codes of length \(N= q^ m+1\) over the field \(\text{GF} (q^{m'})\), \(m'\leq m ...
openaire +2 more sources
Summary: A class of \(q^ m\)-ary constacyclic codes is defined which has the property that the \(q\)-ary image is equivalent to a class of shortened cyclic codes. This description leads to the construction of nonlinear codes. As an example one can construct nonlinear codes of length \(N= q^ m+1\) over the field \(\text{GF} (q^{m'})\), \(m'\leq m ...
openaire +2 more sources
Quantum MDS codes from BCH constacyclic codes
Quantum Information Processing, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liqin Hu, Qin Yue, Xianmang He
openaire +2 more sources
2017
In this chapter, we study polycyclic, negacyclic, constacyclic, quasicyclic and skew cyclic codes which are all generalizations of the important family of cyclic codes. We describe their algebraic setting and show how to use this setting to classify these families of codes.
openaire +1 more source
In this chapter, we study polycyclic, negacyclic, constacyclic, quasicyclic and skew cyclic codes which are all generalizations of the important family of cyclic codes. We describe their algebraic setting and show how to use this setting to classify these families of codes.
openaire +1 more source
Cyclic concatenated codes with constacyclic outer codes
IEEE Transactions on Information Theory, 1992Summary: The known construction of cyclic concatenated codes is based on the fact that the inner code is a cyclic minimal code, the outer code is cyclic, and the lengths of the inner and outer codes are relatively prime. Here, it is shown that if the outer code is a suitably chosen constacyclic code the overall concatenated code is always cyclic ...
openaire +2 more sources
Some new quantum codes from constacyclic codes
Quantum Information ProcessingzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shanqi Pang +3 more
openaire +1 more source
Quantum Cyclic and Constacyclic Codes
IEEE Transactions on Information Theory, 2004Based on classical quaternary constacyclic linear codes, we construct a set of quantum codes with parameters [[(4/sup m/ -1)/3, (4/sup m/ -1)/3 -2(3l + b)m, 4l + b + 2]] where m/spl ges/4, 1/spl les/b/spl les/3, and 12l + 3b < 2 /spl times/ 4/sup /spl lfloor/(m+2)/3/spl rfloor//-1, which are better than the codes in Bierbrauer and Edel (2000).
openaire +1 more source
QUANTUM CODES OBTAINED THROUGH -CONSTACYCLIC CODES OVER
Advances and Applications in Discrete Mathematics, 2023null Pinki +3 more
openaire +1 more source
New non-binary quantum codes from skew constacyclic and additive skew constacyclic codes
The European Physical Journal Plus, 2022Ram Krishna Verma +3 more
openaire +1 more source