Lattice Ideals, Semigroups and Toric Codes

Numerical Semigroups - Springer INdAM Series ◽

10.1007/978-3-030-40822-0_16 ◽

2020 ◽

pp. 285-302

Author(s):

Mesut Şahin

Keyword(s):

Lattice Ideals ◽

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Toric codes and lattice ideals

Finite Fields and Their Applications ◽

10.1016/j.ffa.2018.04.007 ◽

2018 ◽

Vol 52 ◽

pp. 243-260 ◽

Author(s):

Mesut Şahin

Keyword(s):

Lattice Ideals ◽

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Computing generating sets of lattice ideals and Markov bases of lattices

Journal of Symbolic Computation ◽

10.1016/j.jsc.2009.04.006 ◽

2009 ◽

Vol 44 (10) ◽

pp. 1463-1476 ◽

Author(s):

Raymond Hemmecke ◽

Peter N. Malkin

Keyword(s):

Markov Bases ◽

Generating Sets ◽

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Generic lattice ideals

Journal of the American Mathematical Society ◽

10.1090/s0894-0347-98-00255-0 ◽

1998 ◽

Vol 11 (2) ◽

pp. 363-373 ◽

Author(s):

Irena Peeva ◽

Bernd Sturmfels

Keyword(s):

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Syzygies of lattice ideals

Graduate Texts in Mathematics - Combinatorial Commutative Algebra ◽

10.1007/0-387-27103-1_9 ◽

2005 ◽

pp. 173-190

Keyword(s):

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Non-split Toric Codes

Problems of Information Transmission ◽

10.1134/s0032946019020029 ◽

2019 ◽

Vol 55 (2) ◽

pp. 124-144 ◽

Author(s):

D. I. Koshelev

Keyword(s):

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Projecting three-dimensional color codes onto three-dimensional toric codes

Physical Review A ◽

10.1103/physreva.98.012302 ◽

2018 ◽

Vol 98 (1) ◽

Author(s):

Arun B. Aloshious ◽

Pradeep Kiran Sarvepalli

Keyword(s):

Three Dimensional ◽

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Set-theoretic complete intersection lattice ideals in monoid rings

Journal of Algebra ◽

10.1016/j.jalgebra.2005.06.016 ◽

2006 ◽

Vol 299 (2) ◽

pp. 689-706 ◽

Author(s):

Kazufumi Eto

Keyword(s):

Complete Intersection ◽

Intersection Lattice ◽

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Corrigendum to “Toric codes and finite geometries” [Finite Fields Appl. 45 (2017) 203–216]

Finite Fields and Their Applications ◽

10.1016/j.ffa.2017.08.010 ◽

2017 ◽

Vol 48 ◽

pp. 447-448

Author(s):

John B. Little

Keyword(s):

Finite Fields ◽

Finite Geometries ◽

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Corrigendum to “Finiteness theorems and algorithms for permutation invariant chains of Laurent lattice ideals” [J. Symb. Comput. 50 (March 2013) 314–334]

Journal of Symbolic Computation ◽

10.1016/j.jsc.2015.09.002 ◽

2016 ◽

Vol 74 ◽

pp. 650-652

Author(s):

Christopher J. Hillar ◽

Abraham Martín del Campo

Keyword(s):

Lattice Ideals ◽

Finiteness Theorems

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Computing lattice ideals of unions of monomial curves

Journal of Symbolic Computation ◽

10.1016/j.jsc.2004.03.004 ◽

2004 ◽

Vol 38 (2) ◽

pp. 1025-1042

Author(s):

Marı́a-Jesús Pisabarro

Keyword(s):

Monomial Curves ◽

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