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Some results about the cross-correlation function between two maximal linear sequences
  • T. Helleseth
  • Mathematics, Computer Science
  • Discret. Math.
  • 1 November 1976
Let {a1} and {ad1} be two maximal linear sequences of period pn − 1. The cross-correlation function is defined by Cd(t) = for t = 0, t…pn − 2, where ζ = exp(2π 1p). We find some new general resultsExpand
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Almost difference sets and their sequences with optimal autocorrelation
TLDR
Almost difference sets have interesting applications in cryptography and coding theory. Expand
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Monomial and quadratic bent functions over the finite fields of odd characteristic
TLDR
A new class of ternary monomial regular bent function with the Dillon exponent is discovered. Expand
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New Generalized Cyclotomy and Its Applications
In this paper we first introduce a new generalized cyclotomy of order 2 with respect tope11···pett, then we calculate the new cyclotomic numbers of order 2. Some applications of the new cyclotomy inExpand
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Several classes of binary sequences with three-level autocorrelation
TLDR
In this correspondence we describe several classes of binary sequences with three-level autocorrelation. Expand
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Optimal Ternary Cyclic Codes From Monomials
  • C. Ding, T. Helleseth
  • Mathematics, Computer Science
  • IEEE Transactions on Information Theory
  • 30 April 2013
TLDR
Perfect nonlinear monomials over GF(3m) are used to construct optimal ternary cyclic codes with the same parameters. Expand
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New families of binary sequences with optimal three-level autocorrelation
TLDR
We give several new binary sequences of period N with optimal three-level autocorrelation, where N/spl equiv/2 (mod 4). Expand
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On the minimum distance of array codes as LDPC codes
TLDR
For a prime q and an integer j/spl les/q, the code C(q,j) is a class of low-density parity-check (LDPC) codes from array codes which has a nice algebraic structure. Expand
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A New Attack on the Filter Generator
TLDR
The filter generator is an important building block in many stream ciphers. Expand
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On Z4-Linear Goethals Codes and Kloosterman Sums
TLDR
Studying the coset weight distributions of Z4-linear Goethals codes, e connect these codes with the Kloosterman sums. Expand
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