Cyclic Codes and Sequences From Generalized Coulter–Matthews Function
From MaRDI portal
Publication:3604974
DOI10.1109/TIT.2008.2006394zbMath1319.94105OpenAlexW2157198168MaRDI QIDQ3604974
Publication date: 24 February 2009
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1109/tit.2008.2006394
Related Items (35)
A family of optimal ternary cyclic codes with minimum distance five and their duals ⋮ On the minimum distance of negacyclic codes with two zeros ⋮ Two classes of cyclic codes and their weight enumerator ⋮ A class of cyclic codes whose duals have five zeros ⋮ Recent progress on weight distributions of cyclic codes over finite fields ⋮ A survey on the applications of Niho exponents ⋮ A class of \(p\)-ary cyclic codes and their weight enumerators ⋮ A construction of several classes of two-weight and three-weight linear codes ⋮ A class of power functions with four-valued Walsh transform and related cyclic codes ⋮ Binary cyclic codes from explicit polynomials over \(\mathrm{GF}(2^m)\) ⋮ A family of cyclic codes with two zeros ⋮ The Walsh transform of a class of monomial functions and cyclic codes ⋮ The weight distributions of some cyclic codes with three or four nonzeros over \(\mathbb F_3\) ⋮ Some \(q\)-ary cyclic codes from explicit monomials over \(\mathbb{F}_{q^m}\) ⋮ A new nonbinary sequence family with low correlation and large size ⋮ Optimal \(p\)-ary cyclic codes with two zeros ⋮ Ternary perfect sequences with three-valued cross-correlation ⋮ Two classes of new optimal ternary cyclic codes ⋮ Several classes of Niho type Boolean functions with few Walsh transform values ⋮ The complete weight distribution of a subclass of optimal three-weight cyclic codes ⋮ Binary and ternary sequences with a few cross correlations ⋮ A class of three-weight cyclic codes ⋮ The weight distribution of a family of \(p\)-ary cyclic codes ⋮ The weight distribution of a class of \(p\)-ary cyclic codes and their applications ⋮ The cross correlation distribution of a \(p\)-ary \(m\)-sequence of period \(p^m-1\) and its decimated sequences by \((p^k + 1)(p^m + 1) / 4\) ⋮ Symmetric bilinear forms over finite fields with applications to coding theory ⋮ Complete weight distributions of two classes of cyclic codes ⋮ The weight distribution of a family of \(p\)-ary cyclic codes ⋮ A class of binary cyclic codes and sequence families ⋮ Constant composition codes as subcodes of linear codes ⋮ The weight distributions of two classes of \(p\)-ary cyclic codes with few weights ⋮ Some new results on cross correlation of \(p\)-ary \(m\)-sequence and its decimated sequence ⋮ On some conjectures about optimal ternary cyclic codes ⋮ Weight distributions of a class of cyclic codes with arbitrary number of nonzeros in quadratic case ⋮ Weight distribution of cyclic codes with arbitrary number of generalized Niho type zeroes
This page was built for publication: Cyclic Codes and Sequences From Generalized Coulter–Matthews Function