scientific article
From MaRDI portal
Publication:3445782
zbMath1131.94002MaRDI QIDQ3445782
Publication date: 6 June 2007
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
linear codeserror controlblock codesasymmetric channelsymmetric channelprobability of error detection
Linear codes (general theory) (94B05) Bounds on codes (94B65) Decoding (94B35) Error probability in coding theory (94B70) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to information and communication theory (94-01)
Related Items (63)
An inductive construction of minimal codes ⋮ Fourth moments of the code-weights ⋮ Three classes of linear codes with two or three weights ⋮ Weight distributions of two classes of linear codes with five or six weights ⋮ Linear codes with two or three weights from quadratic bent functions ⋮ A survey on the applications of Niho exponents ⋮ Weight distribution moments of random linear/coset codes ⋮ On the weight distribution of some minimal codes ⋮ A construction of \(q\)-ary linear codes with two weights ⋮ Weight distributions of cyclic codes of length \(t l^m\) ⋮ The primitive idempotents of irreducible constacyclic codes and LCD cyclic codes ⋮ A construction of \(q\)-ary linear codes with irreducible cyclic codes ⋮ Some classes of LCD codes and self-orthogonal codes over finite fields ⋮ A class of binary cyclic codes with optimal parameters ⋮ Several families of irreducible constacyclic and cyclic codes ⋮ On some punctured codes of ℤq-Simplex codes ⋮ Several classes of linear codes with few weights over finite fields ⋮ Rational points on cubic surfaces and AG codes from the norm-trace curve ⋮ On the weight distributions of a class of cyclic codes ⋮ Two-weight and three-weight linear codes based on Weil sums ⋮ Near MDS codes of non-elliptic-curve type from Reed-Solomon codes ⋮ Octanary linear codes using simplicial complexes ⋮ A new class of distance-optimal binary cyclic codes and their duals ⋮ Several classes of \(p\)-ary linear codes with few weights ⋮ A class of optimal ternary cyclic codes and their duals ⋮ Three-weight cyclic codes and their weight distributions ⋮ Minimal and optimal binary codes obtained using \(C_D\)-construction over the non-unital ring \(I\) ⋮ The weight distribution of a class of two-weight linear codes derived from Kloosterman sums ⋮ On the weight distribution of the cosets of MDS codes ⋮ The weight distribution of codes over finite chain rings ⋮ New infinite families of near MDS codes holding \(t\)-designs ⋮ Further projective binary linear codes derived from two-to-one functions and their duals ⋮ Two new classes of projective two-weight linear codes ⋮ Unnamed Item ⋮ Complete weight enumerators of two classes of linear codes ⋮ Several classes of linear codes and their weight distributions ⋮ Complete weight enumerators for several classes of two-weight and three-weight linear codes ⋮ Frames as continuous redundant codes ⋮ Several classes of linear codes with few weights from the closed butterfly structure ⋮ Four classes of linear codes from cyclotomic cosets ⋮ The weight distribution of a family of \(p\)-ary cyclic codes ⋮ Linear codes from quadratic forms ⋮ Linear codes with few weights from inhomogeneous quadratic functions ⋮ Constructions of several classes of linear codes with a few weights ⋮ A class of two or three weights linear codes and their complete weight enumerators ⋮ Two classes of binary cyclic codes and their weight distributions ⋮ Three-weight ternary linear codes from a family of cyclic difference sets ⋮ Recent results and problems on constructions of linear codes from cryptographic functions ⋮ The subfield codes of several classes of linear codes ⋮ Two families of subfield codes with a few weights ⋮ A class of subfield codes of linear codes and their duals ⋮ A family of optimal ternary cyclic codes from the Niho-type exponent ⋮ The weight distributions of two classes of \(p\)-ary cyclic codes ⋮ Weight distributions of a class of cyclic codes with arbitrary number of nonzeros in quadratic case ⋮ New linear codes with few weights derived from Kloosterman sums ⋮ The minimum Hamming distances of repeated-root cyclic codes of length \(6p^s\) and their MDS codes ⋮ Weight distributions and weight hierarchies of a family of \(p\)-ary linear codes ⋮ The Hamming distances of repeated-root cyclic codes of length \(5 p^s\) ⋮ On an open problem about a class of optimal ternary cyclic codes ⋮ The weight enumerators of several classes of \(p\)-ary cyclic codes ⋮ Two-weight or three-weight binary linear codes from cyclotomic mappings ⋮ The weight distributions of two classes of binary cyclic codes ⋮ Weight distribution of cyclic codes with arbitrary number of generalized Niho type zeroes
This page was built for publication:
