Results 31 to 40 of about 377,588 (277)
Unique Generators for Cyclic Codes of Arbitrary Length over Fpmu/u3 and Their Applications
Journal of Mathematics, 2022 Cyclic codes play a very important role in the history of coding theory since they have good algebraic structures that can be widely used in coding and decoding.
Hongju Li +3 more
doaj +1 more source
Triorthogonal codes and self-dual codes
Quantum Information Processing21 ...
Minjia Shi +3 more
openaire +2 more sources
Hermitian Rank Metric Codes and Duality
IEEE Access, 2021 In this paper we define and study rank metric codes endowed with a Hermitian form. We analyze the duality for $\mathbb {F}_{q^{2}}$ -linear matrix codes in the ambient space $(\mathbb {F}_{q^{2}})_{n,m}$ and for both $\mathbb {F}_{q^{2}}$ -additive ...
Javier De La Cruz +2 more
doaj +1 more source
The [72,36] Type 11 Self Dual Codes from Hadamard Matrices
Davao Research Journal, 2001 Consider a code [n,k,d] of length n, dimension k and of minimum distance d. Let R be a rate defined by the equation R = k/n. Mathematically, the main problem of coding theory is to find codes with large R (for efficiency) and large d (to correct many ...
Rowena Baylon-Cabrizos
doaj +1 more source
Graph-Based Classification of Self-Dual Additive Codes over Finite Fields
, 2008 Quantum stabilizer states over GF(m) can be represented as self-dual additive codes over GF(m^2). These codes can be represented as weighted graphs, and orbits of graphs under the generalized local complementation operation correspond to equivalence ...
Danielsen, Lars Eirik
core +4 more sources
Representing Small Identically Self‐Dual Matroids by Self‐Dual Codes [PDF]
SIAM Journal on Discrete Mathematics, 2006 The matroid associated with a linear code is the representable matroid that is defined by the columns of any generator matrix. The matroid associated with a self-dual code is identically self-dual, but it is not known whether every identically self-dual representable matroid can be represented by a self-dual code.
Carles Padró, Ignacio Gracia
openaire +2 more sources
MDR codes and self-dual codes on Cartesian product codes
Tongxin xuebao, 2010 A Cartesian product code of the linear codes C1 , , C s in 1 , ,Z r Z rs was defined. According to the theorem of submodulo isomorphism, the relationship between the rank of the Cartesian product code C1 × C 2 × × Cs over Z r1 × Z r2 × × Zrsand C1 , C 2,
LIU Xiu-sheng
doaj +2 more sources
Enumeration of Self-Dual Codes of Length 6 over ℤp
Mathematics, 2019 The purpose of this paper is to classify and enumerate self-dual codes of length 6 over finite field Z p .
Whan-Hyuk Choi
doaj +1 more source
Computational Results of Duadic Double Circulant Codes
, 2012 Quadratic residue codes have been one of the most important classes of algebraic codes. They have been generalized into duadic codes and quadratic double circulant codes.
Han, Sunghyu, Kim, Jon-Lark
core +1 more source
New cubic self-dual codes of length 54, 60 and 66
, 2017 We study the construction of quasi-cyclic self-dual codes, especially of binary cubic ones. We consider the binary quasi-cyclic codes of length 3\ell with the algebraic approach of [9]. In particular, we improve the previous results by constructing 1 new
Kim, Jon-Lark +2 more
core +1 more source