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96 publications using GAP in the category "Information and communication, circuits"

[AG08] Aguglia, A. and Giuzzi, L., Construction of a 3-dimensional MDS-code, Contrib. Discrete Math., 3 (1) (2008), 39--46.

[AH16] Araya, M. and Harada, M., On the classification of certain ternary codes of length 12, Hiroshima Math. J., 46 (1) (2016), 87--96.

[AH04] Araya, M. and Harada, M., MDS codes over $\Bbb F_9$ related to the ternary Golay code, Discrete Math., 282 (1-3) (2004), 233--237.

[AHK04] Araya, M., Harada, M., and Kharaghani, H., Some Hadamard matrices of order 32 and their binary codes, J. Combin. Des., 12 (2) (2004), 142--146.

[BCC08] Bailey, R. A., Cameron, P. J., and Connelly, R., Sudoku, gerechte designs, resolutions, affine space, spreads, reguli, and Hamming codes, Amer. Math. Monthly, 115 (5) (2008), 383--404.

[B06] Bailey, R. F., Uncoverings-by-bases for base-transitive permutation groups, Des. Codes Cryptogr., 41 (2) (2006), 153--176.

[B09] Bailey, R. F., Error-correcting codes from permutation groups, Discrete Math., 309 (13) (2009), 4253--4265.

[BP12] Bailey, R. F. and Prellberg, T., Decoding generalised hyperoctahahedral groups and asymptotic analysis of correctible error patterns, Contrib. Discrete Math., 7 (1) (2012), 1--14.

[B98] Barg, A., Complexity issues in coding theory, in Handbook of coding theory, Vol. I, II, North-Holland, Amsterdam (1998), 649--754.

[BBS16] Bernal, J. J., Bueno-Carre\~no, D. H., and Simón, J. J., Cyclic and BCH codes whose minimum distance equals their maximum BCH bound, Adv. Math. Commun., 10 (2) (2016), 459--474.

[BS+05] Bohli, J., Steinwandt, R., González Vasco, M. I., and Mart\'\inez, C., Weak keys in $MST_1$, Des. Codes Cryptogr., 37 (3) (2005), 509--524.

[BWY16] Bouyuklieva, S., Willems, W., and Yankov, N., On the automorphisms of order 15 for a binary self-dual $[96, 48, 20]$ code, Des. Codes Cryptogr., 79 (1) (2016), 171--182.

[BR05] Britz, T. and Rutherford, C. G., Covering radii are not matroid invariants, Discrete Math., 296 (1) (2005), 117--120.

[BP09] Bulygin, S. and Pellikaan, R., Bounded distance decoding of linear error-correcting codes with Gröbner bases, J. Symbolic Comput., 44 (12) (2009), 1626--1643.

[B06] Bulygin, S. V., Generalized Hermitian codes over $\rm GF(2^r)$, IEEE Trans. Inform. Theory, 52 (10) (2006), 4664--4669.

[CO01] Caprotti, O. and Oostdijk, M., Formal and efficient primality proofs by use of computer algebra oracles, J. Symbolic Comput., 32 (1-2) (2001), 55--70
(Computer algebra and mechanized reasoning (St. Andrews, 2000)).

[CDS09] Caranti, A., Dalla Volta, F., and Sala, M., An application of the O'Nan-Scott theorem to the group generated by the round functions of an AES-like cipher, Des. Codes Cryptogr., 52 (3) (2009), 293--301.

[CIN10] Casiello, D., Indaco, L., and Nagy, G. P., On the computational approach to the problem of the existence of a projective plane of order 10, Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia, 57 (2010), 69--88 (2011).

[CP95] Charnes, C. and Pieprzyk, J., Attacking the $\rm SL_2$ hashing scheme, in Advances in cryptology---ASIACRYPT '94 (Wollongong, 1994), Springer, Berlin, Lecture Notes in Comput. Sci., 917 (1995), 322--330.

[CRB02] Charnes, C., Rötteler, M., and Beth, T., Homogeneous bent functions, invariants, and designs, Des. Codes Cryptogr., 26 (1-3) (2002), 139--154
(In honour of Ronald C. Mullin).

[CF+12] Chen, B., Fan, Y., Lin, L., and Liu, H., Constacyclic codes over finite fields, Finite Fields Appl., 18 (6) (2012), 1217--1231.

[CMR10] Crnkovi\'c, D., Mikuli\'c, V., and Rodrigues, B. G., Some strongly regular graphs and self-orthogonal codes from the unitary group $\rm U_4(3)$, Glas. Mat. Ser. III, 45(65) (2) (2010), 307--323.

[CR13] Crnkovi\'c, D. and Rodrigues, B. G., Self-orthogonal codes from some Bush-type Hadamard matrices, Quaest. Math., 36 (3) (2013), 341--352.

[DG+09] De Beule, J., Govaerts, P., Hallez, A., and Storme, L., Tight sets, weighted $m$-covers, weighted $m$-ovoids, and minihypers, Des. Codes Cryptogr., 50 (2) (2009), 187--201.

[DF+14] Delgado, M., Farrán, J. I., Garc\'\ia-Sánchez, P. A., and Llena, D., On the weight hierarchy of codes coming from semigroups with two generators, IEEE Trans. Inform. Theory, 60 (1) (2014), 282--295.

[D06] Dempwolff, U., Automorphisms and equivalence of bent functions and of difference sets in elementary abelian 2-groups, Comm. Algebra, 34 (3) (2006), 1077--1131.

[EP04] Egner, S. and Püschel, M., Symmetry-based matrix factorization, J. Symbolic Comput., 37 (2) (2004), 157--186.

[EP01] Egner, S. and Püschel, M., Automatic generation of fast discrete signal transforms, IEEE Trans. Signal Process., 49 (9) (2001), 1992--2002.

[E05] Eick, B., Computational group theory, Jahresber. Deutsch. Math.-Verein., 107 (3) (2005), 155--170.

[EG+08] Estrada, S., Garc\'\ia-Rozas, J. R., Peralta, J., and Sánchez-Garc\'\ia, E., Group convolutional codes, Adv. Math. Commun., 2 (1) (2008), 83--94.

[FG15] Farrán, J. I. and Garc\'\ia-Sánchez, P. A., The second Feng-Rao number for codes coming from inductive semigroups, IEEE Trans. Inform. Theory, 61 (9) (2015), 4938--4947.

[FG+01] Fields, J. E., Gaborit, P., Huffman, W. C., and Pless, V., On the classification of extremal even formally self-dual codes of lengths 20 and 22, Discrete Appl. Math., 111 (1-2) (2001), 75--86.

[FG+99] Fields, J. E., Gaborit, P., Huffman, W. C., and Pless, V., On the classification of extremal even formally self-dual codes, Des. Codes Cryptogr., 18 (1-3) (1999), 125--148
(Designs and codes---a memorial tribute to Ed Assmus).

[F05] Fripertinger, H., Enumeration of the semilinear isometry classes of linear codes, Bayreuth. Math. Schr. (74) (2005), 100--122.

[GKL15] Garber, D., Kahrobaei, D., and Lam, H. T., Length-based attacks in polycyclic groups, J. Math. Cryptol., 9 (1) (2015), 33--43.

[GG+13] Garc\'\ia Pillado, C., González, S., Mart\'\inez, C., Markov, V., and Nechaev, A., Group codes over non-abelian groups, J. Algebra Appl., 12 (7) (2013), 1350037, 20.

[GG+12] Garsia-Pil\cprimeyado, K., Gonsales, S., Markov, V. T., Martines, K., and Nechaev, A. A., When are all group codes of a noncommutative group abelian (a computational approach)?, Fundam. Prikl. Mat., 17 (2) (2011/12), 75--85.

[G05] Gebhardt, V., A new approach to the conjugacy problem in Garside groups, J. Algebra, 292 (1) (2005), 282--302.

[GPS15] Gillespie, N. I., Praeger, C. E., and Spiga, P., Twisted permutation codes, J. Group Theory, 18 (3) (2015), 407--433.

[GAE07] Gross, D., Audenaert, K., and Eisert, J., Evenly distributed unitaries: on the structure of unitary designs, J. Math. Phys., 48 (5) (2007), 052104, 22.

[HK05] Haanpää, H. and Kaski, P., The near resolvable $2$-$(13,4,3)$ designs and thirteen-player whist tournaments, Des. Codes Cryptogr., 35 (3) (2005), 271--285.

[HK02] Haemers, W. H. and Kuijken, E., The Hermitian two-graph and its code, Linear Algebra Appl., 356 (2002), 79--93
(Special issue on algebraic graph theory (Edinburgh, 2001)).

[H97] Hiss, G., On the incidence matrix of the Ree unital, Des. Codes Cryptogr., 10 (1) (1997), 57--62.

[H04] Holmes, P. E., On minimal factorisations of sporadic groups, Experiment. Math., 13 (4) (2004), 435--440.

[H95] Horváth, A. G., On a problem connected with the weight distribution of the Reed-Muller code of order $R$, Ann. Univ. Sci. Budapest. Eötvös Sect. Math., 38 (1995), 171--176.

[HKP10] Huang, P., Ke, W., and Pilz, G. F., The cardinality of some symmetric differences, Proc. Amer. Math. Soc., 138 (3) (2010), 787--797.

[H09] Huffman, W. C., Self-dual codes over $\Bbb F_2+u\Bbb F_2$ with an automorphism of odd order, Finite Fields Appl., 15 (3) (2009), 277--293.

[H07] Huffman, W. C., Additive self-dual codes over $\Bbb F_4$ with an automorphism of odd prime order, Adv. Math. Commun., 1 (3) (2007), 357--398.

[H07] Huffman, W. C., Additive cyclic codes over $\Bbb F_4$, Adv. Math. Commun., 1 (4) (2007), 427--459.

[H08] Huffman, W. C., Additive cyclic codes over $\Bbb F_4$, Adv. Math. Commun., 2 (3) (2008), 309--343.

[H07] Huffman, W. C., On the decomposition of self-dual codes over $\Bbb F_2+u\Bbb F_2$ with an automorphism of odd prime order, Finite Fields Appl., 13 (3) (2007), 681--712.

[H13] Huffman, W. C., On the theory of $\Bbb F_q$-linear $\Bbb F_q^t$-codes, Adv. Math. Commun., 7 (3) (2013), 349--378.

[H13] Huffman, W. C., Self-dual $\Bbb F_q$-linear $\Bbb F_q^t$-codes with an automorphism of prime order, Adv. Math. Commun., 7 (1) (2013), 57--90.

[H95] Huffman, W. C., The automorphism groups of the generalized quadratic residue codes, IEEE Trans. Inform. Theory, 41 (2) (1995), 378--386.

[HH14] Hurley, B. and Hurley, T., Systems of MDS codes from units and idempotents, Discrete Math., 335 (2014), 81--91.

[J04] Joyner, D., Toric codes over finite fields, Appl. Algebra Engrg. Comm. Comput., 15 (1) (2004), 63--79.

[JK06] Joyner, D. and Ksir, A., Automorphism groups of some AG codes, IEEE Trans. Inform. Theory, 52 (7) (2006), 3325--3329.

[KTT12] Kalka, A., Teicher, M., and Tsaban, B., Short expressions of permutations as products and cryptanalysis of the Algebraic Eraser, Adv. in Appl. Math., 49 (1) (2012), 57--76.

[KMM09] Key, J. D., McDonough, T. P., and Mavron, V. C., An upper bound for the minimum weight of the dual codes of Desarguesian planes, European J. Combin., 30 (1) (2009), 220--229.

[KMM05] Key, J. D., McDonough, T. P., and Mavron, V. C., Partial permutation decoding for codes from finite planes, European J. Combin., 26 (5) (2005), 665--682.

[KMM06] Key, J. D., McDonough, T. P., and Mavron, V. C., Information sets and partial permutation decoding for codes from finite geometries, Finite Fields Appl., 12 (2) (2006), 232--247.

[KR02] Klappenecker, A. and Rötteler, M., Beyond stabilizer codes. I. Nice error bases, IEEE Trans. Inform. Theory, 48 (8) (2002), 2392--2395.

[KR03] Klappenecker, A. and Rötteler, M., Unitary error bases: constructions, equivalence, and applications, in Applied algebra, algebraic algorithms and error-correcting codes (Toulouse, 2003), Springer, Berlin, Lecture Notes in Comput. Sci., 2643 (2003), 139--149.

[KS15] Knapp, W. and Schaeffer, H., On the codes related to the Higman-Sims graph, Electron. J. Combin., 22 (1) (2015), Paper 1.19, 58.

[KM00] Koolen, J. H. and Munemasa, A., Tight $2$-designs and perfect $1$-codes in Doob graphs, J. Statist. Plann. Inference, 86 (2) (2000), 505--513
(Special issue in honor of Professor Ralph Stanton).

[KN13] Korchmáros, G. and Nagy, G. P., Hermitian codes from higher degree places, J. Pure Appl. Algebra, 217 (12) (2013), 2371--2381.

[KN13] Korchmáros, G. and Nagy, G. P., Lower bounds on the minimum distance in Hermitian one-point differential codes, Sci. China Math., 56 (7) (2013), 1449--1455.

[KU15] Kotov, M. and Ushakov, A., Analysis of a certain polycyclic-group-based cryptosystem, J. Math. Cryptol., 9 (3) (2015), 161--167.

[K14] Krotov, D. S., A partition of the hypercube into maximally nonparallel Hamming codes, J. Combin. Des., 22 (4) (2014), 179--187.

[LST01] Lempken, W., Schröder, B., and Tiep, P. H., Symmetric squares, spherical designs, and lattice minima, J. Algebra, 240 (1) (2001), 185--208
(With an appendix by Christine Bachoc and Tiep).

[LP14] Liebler, R. A. and Praeger, C. E., Neighbour-transitive codes in Johnson graphs, Des. Codes Cryptogr., 73 (1) (2014), 1--25.

[LFK10] Lim, F., Fossorier, M., and Kav\vci\'c, A., Code automorphisms and permutation decoding of certain Reed-Solomon binary images, IEEE Trans. Inform. Theory, 56 (10) (2010), 5253--5273.

[MSA08] MacArthur, B. D., Sánchez-Garc\'\ia, R. J., and Anderson, J. W., Symmetry in complex networks, Discrete Appl. Math., 156 (18) (2008), 3525--3531.

[M08] Mahalanobis, A., A simple generalization of the ElGamal cryptosystem to non-abelian groups, Comm. Algebra, 36 (10) (2008), 3878--3889.

[M08] Mahalanobis, A., The Diffie-Hellman key exchange protocol and non-abelian nilpotent groups, Israel J. Math., 165 (2008), 161--187.

[MV16] Mandi\'c, J. and Vu\vci\vci\'c, T., On the existence of Hadamard difference sets in groups of order 400, Adv. Math. Commun., 10 (3) (2016), 547--554.

[M12] McLoughlin, I., A group ring construction of the [48,24,12] type II linear block code, Des. Codes Cryptogr., 63 (1) (2012), 29--41.

[MH08] McLoughlin, I. and Hurley, T., A group ring construction of the extended binary Golay code, IEEE Trans. Inform. Theory, 54 (9) (2008), 4381--4383.

[MNN06] Miri, A., Nevins, M., and Niyomsataya, T., Applications of representation theory to wireless communications, Des. Codes Cryptogr., 41 (3) (2006), 307--318.

[N08] Nagy, G. P., Direct construction of code loops, Discrete Math., 308 (23) (2008), 5349--5357.

[NP15] Naki\'c, A. and Pav\vcevi\'c, M. O., Tactical decompositions of designs over finite fields, Des. Codes Cryptogr., 77 (1) (2015), 49--60.

[NP14] Neunhöffer, M. and Praeger, C. E., Sporadic neighbour-transitive codes in Johnson graphs, Des. Codes Cryptogr., 72 (1) (2014), 141--152.

[OV15] Olteanu, G. and Van Gelder, I., Construction of minimal non-abelian left group codes, Des. Codes Cryptogr., 75 (3) (2015), 359--373.

[O97] Oura, M., The dimension formula for the ring of code polynomials in genus $4$, Osaka J. Math., 34 (1) (1997), 53--72.

[PPC99] Park, H., Park, K., and Cho, Y., Analysis of the variable length nonzero window method for exponentiation, Comput. Math. Appl., 37 (7) (1999), 21--29.

[PB14] Plesken, W. and Bächler, T., Counting polynomials for linear codes, hyperplane arrangements, and matroids, Doc. Math., 19 (2014), 285--312.

[PM13] Polcino Milies, C. and de Melo, F. D., On cyclic and abelian codes, IEEE Trans. Inform. Theory, 59 (11) (2013), 7314--7319.

[PM03] Püschel, M. and Moura, J. M. F., The algebraic approach to the discrete cosine and sine transforms and their fast algorithms, SIAM J. Comput., 32 (5) (2003), 1280--1316 (electronic).

[S10] Sawa, M., Optical orthogonal signature pattern codes with maximum collision parameter 2 and weight 4, IEEE Trans. Inform. Theory, 56 (7) (2010), 3613--3620.

[S00] Simonis, J., The $[23,14,5]$ Wagner code is unique, Discrete Math., 213 (1-3) (2000), 269--282
(Selected topics in discrete mathematics (Warsaw, 1996)).

[S00] Skersys, G., Computing permutation groups of error-correcting codes, Liet. Mat. Rink., 40 (Special Issue) (2000), 320--328.

[VPD10] Vasco, M. I. G., del Pozo, A. L. P., and Duarte, P. T., A note on the security of $\rm MST_3$, Des. Codes Cryptogr., 55 (2-3) (2010), 189--200.

[W01] Walker, J. L., Constructing critical indecomposable codes, IEEE Trans. Inform. Theory, 47 (5) (2001), 1780--1795.

[YL+15] Yankov, N., Lee, M. H., Gürel, M., and Ivanova, M., Self-dual codes with an automorphism of order 11, IEEE Trans. Inform. Theory, 61 (3) (2015), 1188--1193.

[Z16] Zhang, G., On the weight distributions of some cyclic codes, Discrete Math., 339 (8) (2016), 2070--2078.

[O02] Österg\aard, P. R. J., Classifying subspaces of Hamming spaces, Des. Codes Cryptogr., 27 (3) (2002), 297--305.