Found 68 Documents (Results 1–68)
The Gálvez-Carrillo-Kock-Tonks conjecture for locally discrete decomposition spaces. (English) Zbl 1536.18015
Reviewer: Hirokazu Nishimura (Tsukuba)
BCH cyclic codes. (English) Zbl 07825853
Reviewer: Weidong Cheng (Chongqing)
Krull-Remak-Schmidt decompositions in Hom-finite additive categories. (English) Zbl 1521.18004
Reviewer: Sven-Ake Wegner (Hamburg)
Shuffle algebras and non-commutative probability for pairs of faces. (English) Zbl 1506.18019
Reviewer: Loïc Foissy (Calais)
Non-standard linear recurring sequence subgroups in finite fields and automorphisms of cyclic codes. I. (English) Zbl 1508.94090
Pathlike co/bialgebras and their antipodes with applications to bi- and Hopf algebras appearing in topology, number theory and physics. (English) Zbl 1497.18031
Reviewer: Laurent Poinsot (Villetaneuse)
From Runge-Kutta methods to Hopf algebras of rooted trees. (English) Zbl 1493.16031
Makhlouf, Abdenacer (ed.), Algebra and applications 2. Combinatorial algebra and Hopf algebras. London: ISTE; Hoboken, NJ: John Wiley & Sons. Sciences, 179-219 (2021).
Algebraic background for numerical methods, control theory and renormalization. (English) Zbl 1493.16030
Makhlouf, Abdenacer (ed.), Algebra and applications 2. Combinatorial algebra and Hopf algebras. London: ISTE; Hoboken, NJ: John Wiley & Sons. Sciences, 1-53 (2021).
Hopf algebra structure of generalized quasi-symmetric functions in partially commutative variables. (English) Zbl 1466.05218
Rank-metric codes over arbitrary Galois extensions and rank analogues of Reed-Muller codes. (English) Zbl 1489.94129
Reviewer: Hiram López (Cleveland)
The incidence comodule bialgebra of the Baez-Dolan construction. (English) Zbl 1465.18014
Reviewer: Laurent Poinsot (Villetaneuse)
A nearly optimal algorithm to decompose binary forms. (English) Zbl 1461.14080
Reviewer: Luca Chiantini (Siena)
A Hopf algebra on subgraphs of a graph. (English) Zbl 1460.16034
Reviewer: Loïc Foissy (Calais)
Arborified multiple zeta values. (English) Zbl 1459.11172
Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Based on the presentations at the research trimester on multiple zeta values, multiple polylogarithms, and quantum field theory, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 469-481 (2020).
Reviewer: Johannes Blümlein (Zeuthen)
Systematic encoders for generalized Gabidulin codes and the \(q\)-analogue of Cauchy matrices. (English) Zbl 1434.94089
Tensor representation of rank-metric codes. (English) Zbl 1439.11292
MSC:
11T71
The Poincaré polynomial of a linear code. (English) Zbl 1405.13030
Greuel, Gert-Martin (ed.) et al., Singularities, algebraic geometry, commutative algebra, and related topics. Festschrift for Antonio Campillo on the occasion of his 65th birthday, University of Valladolid, Spain, June 19–23, 2017. Cham: Springer (ISBN 978-3-319-96826-1/hbk; 978-3-319-96827-8/ebook). 525-535 (2018).
Decomposition spaces, incidence algebras and Möbius inversion. II: Completeness, length filtration, and finiteness. (English) Zbl 1403.18016
Adv. Math. 333, 1242-1292 (2018); corrigendum ibid. 371, Article ID 107267, 5 p. (2020).
Reviewer: Hirokazu Nishimura (Tsukuba)
Decomposition spaces, incidence algebras and Möbius inversion. I: Basic theory. (English) Zbl 1403.00023
Reviewer: Hirokazu Nishimura (Tsukuba)
MSC:
00B15
A comodule-bialgebra structure for word-series substitution and mould composition. (English) Zbl 1385.16030
Reviewer: Sonia Natale (Córdoba)
On the equivalence of probability spaces. (English) Zbl 1388.60081
Reviewer: Yana Kinderknecht (Saarbrücken)
On the annihilator ideal of an inverse form. (English) Zbl 1368.13031
Appl. Algebra Eng. Commun. Comput. 28, No. 1, 31-78 (2017); addendum ibid. 30, No. 6, 491-507 (2019).
Reviewer: Alexander B. Levin (Washington)
On the full monomial automorphism groups of Reed-Solomon codes and their MDS-extensions. (English) Zbl 1369.94597
A superfast randomized algorithm to decompose binary forms. (English) Zbl 1361.68300
Rosenkranz, Markus (ed.), Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20–22, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4380-0). 79-86 (2016).
A probabilistic collocation eulerian-Lagrangian localized adjoint method on sparse grids for assessing \(\operatorname{CO}_2\) leakage through wells in randomly heterogeneous porous media. (English) Zbl 1423.76375
Generalizing the Connes Moscovici Hopf algebra to contain all rooted trees. (English) Zbl 1322.81074
Reviewer: Akira Asada (Takarazuka)
On an extension of Knuth’s rotation correspondence to reduced planar trees. (English) Zbl 1307.05048
Reviewer: Loïc Foissy (Calais)
On a new class of differential variational inequalities and a stability result. (English) Zbl 1277.34088
Reviewer: Zhenbin Fan (Jiangsu)
Numerical studies of three-dimensional stochastic Darcy’s equation and stochastic advection-diffusion-dispersion equation. (English) Zbl 1203.65019
Ramification of rough paths. (English) Zbl 1315.60065
An efficient algorithm for computing the Baker-Campbell-Hausdorff series and some of its applications. (English) Zbl 1202.17004
An algebraic theory of order. (English) Zbl 1229.05302
A model reduction method for the post-buckling analysis of cellular microstructures. (English) Zbl 1169.74663
Gröbner basis techniques to compute weight distributions of shortened cyclic codes. (English) Zbl 1155.94020
The reduced model multiscale method (R3M) for the nonlinear homogenization of hyperelastic media at finite strains. (English) Zbl 1163.74048
Combinatorial Hopf algebras in quantum field theory. I. (English) Zbl 1090.16016
Reviewer: Jérôme Petit (Montpellier)
QED Hopf algebras on planar binary trees. (English) Zbl 1056.16026
Reviewer: Earl J. Taft (New Brunswick)
Hyperplane sections of Grassmannians and the number of MDS linear codes. (English) Zbl 1007.94024
Reviewer: Robert F.Lax (Baton Rouge)
Categorical aspects of generating functions. I: Exponential formulas and Krull-Schmidt categories. (English) Zbl 0983.18001
Reviewer: Bernd Richter (Berlin)
Dimensional model reduction in nonlinear finite element dynamics of solids and structures. (English) Zbl 1013.74071
On the cyclicity of Goppa codes, parity-check subcodes of Goppa codes, and extended Goppa codes. (English) Zbl 0965.94025
Reviewer: Arnaldo Garcia (Rio de Janeiro)
Incidence Hopf algebras. (English) Zbl 0808.05101
On the covering radius of Reed-Solomon codes. (English) Zbl 0790.94019
MSC:
94B05
Waring’s problem for binary forms. (English) Zbl 0791.11020
Reviewer: L.N.Vaserstein (University Park)
Quadratic residue codes in their prime. (English) Zbl 0752.94013
Reviewer: H.N.Ward
MSC:
94B05
Hecke operators and the weight distributions of certain codes. (English) Zbl 0729.11065
Reviewer: L.M.G.M.Tolhuizen (Eindhoven)
Complete decoding of doubly-extended Reed-Solomon codes of minimum distance 5 and 6. (English) Zbl 0736.94015
Incidence algebras and coalgebras of decomposition structures. (English) Zbl 0698.05005
Reviewer: J.Vinárek
MSC:
05A15
16W30
On automorphisms of geometric Goppa codes. (English) Zbl 0696.94012
Reviewer: H.Stichtenoth
The automorphism groups of Reed-Solomon codes. (English) Zbl 0621.94010
Reviewer: Vl.Tonchev
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