Monomial-Cartesian codes and their duals, with applications to LCD codes, quantum codes, and locally recoverable codes
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[1] Gretchen L. Matthews,et al. Affine Cartesian codes with complementary duals , 2018, Finite Fields Their Appl..
[2] Sihem Mesnager,et al. Linear Codes Over 𝔽q Are Equivalent to LCD Codes for q>3 , 2018, IEEE Trans. Inf. Theory.
[3] Peter Beelen,et al. Generalized Hamming weights of affine Cartesian codes , 2017, Finite Fields Their Appl..
[4] Cícero Carvalho,et al. On the next-to-minimal weight of affine cartesian codes , 2017, Finite Fields Their Appl..
[5] Carlos Galindo,et al. On the distance of stabilizer quantum codes from J-affine variety codes , 2016, Quantum Information Processing.
[6] Claude Carlet,et al. Complementary dual codes for counter-measures to side-channel attacks , 2016, Adv. Math. Commun..
[7] Carlos Galindo,et al. Stabilizer quantum codes from J-affine variety codes and a new Steane-like enlargement , 2015, Quantum Information Processing.
[8] Hiram H. López,et al. Projective Nested Cartesian Codes , 2014, 1411.6819.
[9] Ivan Soprunov,et al. Lattice polytopes in coding theory , 2014, Journal of Algebra Combinatorics Discrete Structures and Applications.
[10] Itzhak Tamo,et al. A Family of Optimal Locally Recoverable Codes , 2013, IEEE Transactions on Information Theory.
[11] Cícero Carvalho,et al. On the second Hamming weight of some Reed-Muller type codes , 2013, Finite Fields Their Appl..
[12] Rafael H. Villarreal,et al. Affine cartesian codes , 2012, Designs, Codes and Cryptography.
[13] Olav Geil,et al. Weighted Reed–Muller codes revisited , 2011, Des. Codes Cryptogr..
[14] S. Bulygin,et al. Decoding and Finding the Minimum Distance with Gröbner Bases: History and New Insights , 2010 .
[15] Stanislav Bulygin,et al. Bounded distance decoding of linear error-correcting codes with Gröbner bases , 2009, J. Symb. Comput..
[16] Ivan Soprunov,et al. Bringing Toric Codes to the Next Dimension , 2009, SIAM J. Discret. Math..
[17] Ivan Soprunov,et al. Toric Surface Codes and Minkowski Length of Polygons , 2008, SIAM J. Discret. Math..
[18] Diego Ruano,et al. On the structure of generalized toric codes , 2006, J. Symb. Comput..
[19] Pradeep Kiran Sarvepalli,et al. On Quantum and Classical BCH Codes , 2006, IEEE Transactions on Information Theory.
[20] Santosh Kumar,et al. Nonbinary Stabilizer Codes Over Finite Fields , 2005, IEEE Transactions on Information Theory.
[21] H. Tapia-Recillas,et al. Reed-Muller-Type Codes Over the Segre Variety , 2002 .
[22] David Joyner,et al. Toric Codes over Finite Fields , 2002, Applicable Algebra in Engineering, Communication and Computing.
[23] A. Steane. Multiple-particle interference and quantum error correction , 1996, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[24] Shor,et al. Good quantum error-correcting codes exist. , 1995, Physical review. A, Atomic, molecular, and optical physics.
[25] Joe W. Harris,et al. Algebraic Geometry: A First Course , 1995 .
[26] D. Eisenbud. Commutative Algebra: with a View Toward Algebraic Geometry , 1995 .
[27] Victor K.-W. Wei,et al. On the generalized Hamming weights of product codes , 1993, IEEE Trans. Inf. Theory.
[28] James L. Massey,et al. Linear codes with complementary duals , 1992, Discret. Math..
[29] T. Willmore. Algebraic Geometry , 1973, Nature.
[30] Cícero Carvalho,et al. Projective Reed-Muller type codes on rational normal scrolls , 2016, Finite Fields Their Appl..
[31] Ruud Pellikaan,et al. Decoding Linear Error-Correcting Codes up to Half the Minimum Distance with Gröbner Bases , 2009, Gröbner Bases, Coding, and Cryptography.
[32] Maria Bras-Amorós,et al. Duality for some families of correction capability optimized evaluation codes , 2008, Adv. Math. Commun..
[33] Cem Güneri. Algebraic geometric codes: basic notions , 2008 .
[34] G. R. Pellikaan,et al. Decoding error-correcting codes with Grobner bases , 2007 .
[35] Shuhong Gao,et al. GRÖBNER BASES , PADÉ APPROXIMATION , AND DECODING OF LINEAR CODES , 2005 .
[36] Johan P. Hansen,et al. Toric Surfaces and Error-correcting Codes , 2000 .
[37] C. Rentería,et al. Reed‐muller codes: an ideal theory approach , 1997 .
[38] W. Cary Huffman,et al. Fundamentals of Error-Correcting Codes , 1975 .
[39] O. Antoine,et al. Theory of Error-correcting Codes , 2022 .