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Barekeng, 2021 Kode blok adalah skema penyandian yang menggunakan sistem kode-kode pada suatu lapangan hingga dengan panjang yang sama dan tetap. Kode blok linear atau lebih sering disebut kode linear atas suatu lapangan hingga merupakan himpunan kode-kode blok dengan ...
Juli Loisiana Butar-Butar +1 more
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Counting Quiver Representations over Finite Fields Via Graph Enumeration [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Let $\Gamma$ be a quiver on $n$ vertices $v_1, v_2, \ldots , v_n$ with $g_{ij}$ edges between $v_i$ and $v_j$, and let $\boldsymbol{\alpha} \in \mathbb{N}^n$.
Geir Helleloid +1 more
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A theorem about linear rank inequalities that depend on the characteristic of the finite field
Selecciones Matemáticas, 2022 A linear rank inequality is a linear inequality that holds by dimensions of vector spaces over any finite field. A characteristic-dependent linear rank inequality is also a linear inequality that involves dimensions of vector spaces but this holds over ...
Victor Peña-Macias
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The number of rational points of certain quartic diagonal hypersurfaces over finite fields
AIMS Mathematics, 2020 Let $p$ be an odd prime and let $\mathbb{F}_q$ be a finite field of characteristic $p$ with order $q=p^s$. For $f(x_1, \cdots, x_n)\in\mathbb{F}_q[x_1, ..., x_n]$, we denote by $N(f(x_1, \cdots, x_n)=0)$ the number of $\mathbb{F}_q$-rational points on ...
Junyong Zhao, Shaofang Hong, Chaoxi Zhu
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Information, 2021 Linear complexity is an important criterion to characterize the unpredictability of pseudo-random sequences, and large linear complexity corresponds to high cryptographic strength.
Jiang Ma +3 more
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On the number of irreducible polynomials of special kinds in finite fields
AIMS Mathematics, 2020 Let $\mathbb{F}_q$ be the finite field of order $q$ and $f(x)$ be an irreducible polynomial of degree $n$ over $\mathbb{F} _q$. For a positive divisor $n_1$ of $n$, define the $n_1$-traces of $f(x)$ to be $\mathrm{Tr}(\alpha;n_1)=\alpha+\alpha^q+\cdots ...
Weihua Li, Chengcheng Fang, Wei Cao
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Classification of Elements in Elliptic Curve Over the Ring 𝔽q[ɛ]
Discussiones Mathematicae - General Algebra and Applications, 2021 Let 𝔽q[ɛ] := 𝔽q [X]/(X4 − X3) be a finite quotient ring where ɛ4 = ɛ3, with 𝔽q is a finite field of order q such that q is a power of a prime number p greater than or equal to 5.
Selikh Bilel +2 more
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IACR Transactions on Symmetric Cryptology, 2022 There are many recent results on reverse-engineering (potentially hidden) structure in cryptographic S-boxes. The problem of recovering structure in the other main building block of symmetric cryptographic primitives, namely, the linear layer, has not ...
Christof Beierle +3 more
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Finite size mean-field models [PDF]
, 2006 We characterize the two-site marginals of exchangeable states of a system of quantum spins in terms of a simple positivity condition. This result is used in two applications.
C Vandenplas +7 more
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Field Redefinitions at Finite Density [PDF]
, 2000 The apparent dependence of nuclear matter observables on off-shell properties of the two-nucleon potential is re-examined in the context of the effective field theory (EFT) approach.
Furnstahl, R. J. +2 more
core +4 more sources