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New Results on the −1 Conjecture on Cross-Correlation of m-Sequences Based on Complete Permutation Polynomials [PDF]

open access: yesIEEE Transactions on Information Theory, 2023
The cross-correlation between two maximum length sequences ( $m$ -sequences) of the same period has been studied since the end of 1960s. One open conjecture by Helleseth states that the cross-correlation between any two $p$ -ary $m$ -sequences takes on
Gaofei Wu   +3 more
semanticscholar   +3 more sources

Tensor products of higher almost split sequences in subcategories [PDF]

open access: yesCzechoslovak Mathematical Journal, 2023
We introduce the algebras satisfying the ( $${\cal B}$$ ℬ , n) condition. If Λ, Γ are algebras satisfying the ( $${\cal B}$$ ℬ , n ), ( $${\cal E}$$ ℰ , m ) condition, respectively, we give a construction of ( m + n )-almost split sequences in some ...
Xiaojian Lu, Deren Luo
semanticscholar   +2 more sources
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Uniform Distribution (mod m ) of Recurrent Sequences

The Fibonacci quarterly, 1977
where A(n,j,m) denotes the number of terms among Th ••-, Tn which satisfy the congruence T{ = j (m od m) . The combined results of Kuipers and Shiue [1] and Niederreiter [2] establish the fact that the Fibonacci sequence lfn\ is uniformly distributed ...
S. R. Cavior
semanticscholar   +1 more source

RANK GENERATING FUNCTIONS FOR ODD-BALANCED UNIMODAL SEQUENCES, QUANTUM JACOBI FORMS, AND MOCK JACOBI FORMS

Journal of the Australian Mathematical Society, 2020
Let $\unicode[STIX]{x1D707}(m,n)$ (respectively, $\unicode[STIX]{x1D702}(m,n)$) denote the number of odd-balanced unimodal sequences of size $2n$ and rank $m$ with even parts congruent to $2\!\!\hspace{0.6em}{\rm mod}\hspace{0.2em}4$ (respectively, $0\!\!
Michael Barnett   +2 more
semanticscholar   +1 more source

Geometric Aspects of Lucas Sequences, I

, 2020
We present a way of viewing Lucas sequences in the framework of group scheme theory. This enables us to treat the Lucas sequences from a geometric and functorial viewpoint, which was suggested by Laxton ⟨On groups of linear recurrences, I⟩ and by Aoki ...
Noriyuki Suwa
semanticscholar   +1 more source

A class of quasi-cyclic LDPC codes from B2(mod m) sequences

Science China Information Sciences, 2011
Guohua Zhang, Xinmei Wang
semanticscholar   +1 more source

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