A class of power functions with four-valued Walsh transform and related cyclic codes
From MaRDI portal
Publication:2168933
DOI10.1016/j.ffa.2022.102078OpenAlexW4283014242WikidataQ113874189 ScholiaQ113874189MaRDI QIDQ2168933
Haode Yan, Zhen Li, Dongchun Han
Publication date: 26 August 2022
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ffa.2022.102078
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Other character sums and Gauss sums (11T24) Cyclic codes (94B15)
Cites Work
- Further crosscorrelation properties of sequences with the decimation factor \({d=\frac{p^n+1}{p+1}-\frac{p^n-1}{2}}\)
- Some results about the cross-correlation function between two maximal linear sequences
- Highly nonlinear mappings
- A note on the differential spectrum of a class of power mappings with Niho exponent
- An Open Problem on the Distribution of a Niho-Type Cross-Correlation Function
- Binary Sequences With Three-Valued Cross Correlations of Different Lengths
- Some Results on Cross-Correlation Distribution Between a <inline-formula> <tex-math notation="TeX">\(p\) </tex-math></inline-formula>-Ary <inline-formula> <tex-math notation="TeX">\(m\) </tex-math></inline-formula>-Sequence and Its Decimated Sequences
- On the Weight Distribution of Cyclic Codes With Niho Exponents
- Niho type cross-correlation functions via dickson polynomials and Kloosterman sums
- Cross correlation of m-sequences of different lengths
- On the correlation distribution of the Coulter-Matthews decimation
- On Four-Valued Niho-Type Cross-Correlation Functions of $m$-Sequences
- Cross-Correlation Distribution of $p$-ary $m$-Sequence of Period $p^{4k}-1$ and Its Decimated Sequences by $\left({{ p^{2k}+1}\over { 2}}\right)^{2}$
- On the Weight Distributions of Two Classes of Cyclic Codes
- Cyclic Codes and Sequences From Generalized Coulter–Matthews Function
- On subfield subcodes of modified Reed-Solomon codes (Corresp.)
- Differential Properties of ${x\mapsto x^{2^{t}-1}}$
