Results 21 to 30 of about 2,328 (103)
New binary and ternary LCD codes [PDF]
, 2017 LCD codes are linear codes with important cryptographic applications. Recently, a method has been presented to transform any linear code into an LCD code with the same parameters when it is supported on a finite field with cardinality larger than 3 ...
Galindo, Carlos +3 more
core +4 more sources
Global Linear Complexity Analysis of Filter Keystream Generators
, 1997 An efficient algorithm for computing lower bounds on the global linear complexity of nonlinearly filtered PN-sequences is presented. The technique here developed is based exclusively on the realization of bit wise logic operations, which makes it ...
A. Fuster-Sabater +5 more
core +1 more source
On the Exact Evaluation of Certain Instances of the Potts Partition Function by Quantum Computers [PDF]
, 2007 We present an efficient quantum algorithm for the exact evaluation of either the fully ferromagnetic or anti-ferromagnetic q-state Potts partition function Z for a family of graphs related to irreducible cyclic codes.
A. Barg +29 more
core +3 more sources
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
Squares of matrix-product codes [PDF]
, 2019 The component-wise or Schur product $C*C'$ of two linear error-correcting codes $C$ and $C'$ over certain finite field is the linear code spanned by all component-wise products of a codeword in $C$ with a codeword in $C'$.
Cascudo, Ignacio +2 more
core +3 more sources
Construction of quantum BCH code based on cyclotomic coset
Tongxin xuebao, 2021 Quantum-error-correcting code can overcome quantum decoherence efficiently, which is the key technology to realize quantum computers.A series of quantum BCH code was proposed based on classical codes.First, a general way of well-chosen cyclotomic coset was introduced.A sufficient condition was given to calculate the number of elements in cyclotomic ...
Lijuan XING, Zhuo LI
openaire +2 more sources
A Note on Factorization and the Number of Irreducible Factors of xn − λ over Finite Fields
MathematicsLet Fq be a finite field, and let n be a positive integer such that gcd(q,n)=1. The irreducible factors of xn−1 and xn−λ are fundamental concepts with wide applications in cyclic codes and constacyclic codes.
Jinle Liu, Hongfeng Wu
doaj +1 more source
The Dimension of Subcode-Subfields of Shortened Generalized Reed Solomon Codes
, 2011 Reed-Solomon (RS) codes are among the most ubiquitous codes due to their good parameters as well as efficient encoding and decoding procedures. However, RS codes suffer from having a fixed length.
Hernando, Fernando +2 more
core +1 more source
p$p$‐adic equidistribution and an application to S$S$‐units
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We prove a Galois equidistribution result for torsion points in Gmn$\mathbb {G}_m^n$ in the p$p$‐adic setting for test functions of the form log|F|p$\log |F|_p$ where F$F$ is a nonzero polynomial with coefficients in the field of complex p$p$‐adic numbers.
Gerold Schefer
wiley +1 more source
, 2018 Linear codes with complementary duals (LCD) have a great deal of significance amongst linear codes. Maximum distance separable (MDS) codes are also an important class of linear codes since they achieve the greatest error correcting and detecting ...
Koroglu, Mehmet E., Sarı, Mustafa
core +1 more source