Publications
Magma computations for G_2(q) of rank 3
Magma computations for primitive rank 3 designs
Publications
- (with W. D. Knapp). On the binary codes of length $552$ which admit the simple group ${\rm Co}_3$ as a transitive permutation group. Commun. in Algebra. 51 (4) 2023, 1451 - 1461.
- (with Mohammad Reza Darafsheh and Amin Saeidi). On linear codes constructed from finite groups with a trivial Schur multiplier. Math. Commun., 28 (1), (2023), 85–-104.
- (with M. Ajmal, M. U. Rehman). Improved asymptotically optimal error correcting codes for avoidance crosstalk type-IV on-chip data buses. Comp. Appl. Math. 42 (4), (2023), Paper No. 150, 24 pp.
- (with P Mafuta and S Mukwembi). A note on connected domination number and leaf number. Discrete Mathematics 346 (2) (2023) paper No. 113228, 5 pages.
- (with T Le). On some codes from rank-3 representations of the simple Chevalley group $G_2{(q)}$. Adv. Math. Comm. 17 (1), (2023), 207 - 226.
- (with J D Key). Minimal PD-sets for codes associated with the graphs Q_2^m, m even. Appl. Algebra Engrg. Commun. Comput. 34 (1) (2023), 57 - 66.
- (with J D Key). Codes from m-ary n-cubes Q^m_n: a survey. AUT Journal of Mathematics and Computing, 4 (1) 2023, 1 - 15.
- (with X. Mbaale and S Zandi). Designs from maximal subgroups and conjugacy classes of PSL(2,q), q odd . AUT Journal of Mathematics and Computing, 4 (1) 2023, 47 - 55.
- B G Rodrigues. On some projective triply-even binary codes invariant under the Conway group Co_1. Int. J. Group Theory, 11 (1), (2022) 23 - 35.
- (with W. D. Knapp). A useful tool for constructing linear codes. J. Algebra 585 (2021), 422--446.
- (with F G Russo). The exterior degree of finite simple groups. Comm. Algebra 49 (6)(2021) 2707 - 2721.
- (with G Amery and S Gomani). Designs and binary codes from maximal subgroups and conjugacy classes of the Mathieu group M_11. Math. Commun. 26 (2021), 159--175.
- (with X Mbaale). Symmetric 1-designs from PSL(2,q) for q an odd prime power. Trans. Combin. 10 (1) (2021) 43--61.
- (with X Mbaale). Symmetric 1-designs from PGL(2,q) for q an odd prime power. Glas. Mat., 56 (76)(2021) 1-15.
- (with J D Key). Binary codes from m-ary n-cubes Q^m_n. Adv. Math. Comm. 15 (3) (2021), 507--524
- (with D. Crnkovic, N. Mostarc and L. Storme). s-PD-sets for codes from projective planes PG(2, 2^h), 5 \leq h \leq 9. Adv. Math. Comm. 15 (3) (2021), 423--440.
- (with D Crnkovic, Ronan Egan and A Svob). LCD codes from weighing matrices. Appl. Algebra Engrg. Commun. Comput. 32 (2021), 175--189.
- B G Rodrigues. On the classification of binary self-dual codes admitting imprimitive rank 3 permutation groups. Appl. Algebra Engrg. Commun. Comput. 32 (2021), 113--134.
- (with S. Y. Madanha). Finite groups with some restriction on the vanishing set. Comm. Algebra 48 (12)(2020) 5474--5481.
- (with J Moori, A Saeidi and S Zandi). Designs from maximal subgroups and conjugacy classes of Ree groups. Adv. Math. Comm. 14 (4)(2020) 603–611
- (with W. Fish, N. B. Mumba and E. Mwambene). Binary codes and partial permutation decoding sets from biadjacency matrices of bipartite graphs Gamma(2k,k,k+1,1). Quaest. Math., 43 (4) (2020) 523 - 538.
- (with D Leemans). On primitive geometries of rank two. Art of Discrete Appl. Math. 2 (2019), # P1.08.
- (with Peter Dankelmann, Simon Mukwembi and Fadekemi J Osaye). Upper Bounds on the Average Eccentricity of K_3-free and C_4-free Graphs. Discrete Applied Maths, 270 (2019), 106--114
- (with W Fish, J D Key, E Mwambene). Hamming graphs and LCD codes. J. Appl. Math. Comput. 61 (1-2) (2019) 461– 479
- (with J D Key). Special LCD codes from Peisert and generalized Peisert graphs. Graphs Combin. 35 (3) (2019), 633--652
- (with J Moori, A Saeidi and S Zandi). Some symmetric designs invariant under the small Ree groups. Comm. Algebra, 47 (5) (2019), 2131--2148.
- (with T MM Shumba). Some remarks on self-dual codes invariant under almost simple permutation groups. In Groups St Andrews 2017 in Birmingham, 5th-13th August 2017: London Math. Soc. Lecture Notes, Vol 455 (2019). pages 469 - 487
- (with D Crnkovi'c and V. M. Crnkovi'c). On self-orthogonal designs and codes related to Held's simple group. Adv. Math. Comm. 12 (3) (2018), 607- 628
- B G Rodrigues. A projective two-weight code related to the simple group Co_1 of Conway. Graphs Combin. 34 (2018) (3), 509–521.
- (with J D Key). LCD codes from adjacency matrices of graphs. Appl. Algebra Engrg. Commun. Comput. 29 (2018) (3), 227--244.
- (with Alice Hui Ma Wa). Switched graphs of some strongly regular graphs related to the symplectic graph. Des. Codes Cryptogr. 86 (2018) (1), 179 – 194.
- B G Rodrigues. Linear codes with complementary duals related to the complement of the Higman-Sims graph. Bull. Iranian Math. Soc. 43 (2017) (7), 2183 - 2204.
- (with D Crnkovic, S Rukavina and V D Tonchev) Classification of quasi-symmetric 2-(64,24,46) designs of Blokhuis-Haemers type. Discrete Math. 340 (2017) 2472 – 2478
- (with P Mafuta, S Mukwembi and S. Munyira) Lower bounds on the leaf number in graphs with forbidden subgraphs. Quaest. Math. 40 (1), (2017), 139 -- 149.
- (with W. Fish, N. B. Mumba and E. Mwambene) Binary codes and partial permutation decoding sets from biadjacency matrices of bipartite graphs Gamma(2k+1,m,l,i). Graphs Combin. 33 (2), (2017), 356 -- 368
- (with J Moori) Some self-orthogonal codes related to Higman's geometry. Electronic J. Combin. 23 (4),(2016), #P4.15.
- (with D Crnkovic, Marija Maksimovic and S Rukavina) Self-orthogonal codes from strongly regular graphs on at most 40 vertices. Adv. Math. Comm. 10 (2016), (3), 555 - 582.
- (with D Leemans) Linear codes with complementary duals from some strongly regular subgraphs of the McLaughlin graph. Math. Commun. 21 (2016), 239 - 249.
- (with J Moori) A note on the affine subgroup of the symplectic group. International Journal of Group Theory, 5 (1), (2016) 37--51.
- (with VD Tonchev) On quasi-symmetric 2-(64,24,46) designs derived from codes, Coding Theory and Applications, 4th International Castle Meeting, Palmela Castle, Portugal, September 15-18, 2014 Series: CIM Series in Mathematical Sciences, Vol. 3 (2015), 327- 333.
- (with L Chikamai and J Moori) Some irreducible 2-modular codes invariant under the symplectic group S_6(2). Glas. Mat. 49, ( 2), (2014), 235 – 262.
- (with L Chikamai and J Moori) Some 2-modular codes preserved by the simple group L_3(4). Util. Math. 95 (2014), 357- 399.
- (with L Chikamai and J Moori) Self-orthogonal codes from some 2-(64, 28, 12) designs and their orbit matrices. J. Combin. Math. and Combin. Computing 90, (2014), 285 - 298
- (with P Dankelmann and J. D. Key) A characterization of graphs by codes from their incidence matrices. Electronic J. Combin. 20 (3), (2013), #P18.
- (with P Dankelmann and J. D. Key) Codes from incidence matrices of graphs. Des. Codes Cryptogr. 68 (2013), no. 1-3, 373 - 93.
- (with D Crnkovic, Sanja Rukavina and L. Simvci'c) Self-orthogonal codes from orbit matrices of 2-designs. Adv. Math. Commun. 7, (2013), (2), 161–174.
- (with D Crnkovic) Self-orthogonal codes from some Bush-type Hadamard matrices. Quaest. Math 36, (3), (2013), 341–-352.
- (with D Leemans) Binary codes of some strongly regular subgraphs of the McLaughlin graph. Des. Codes and Cryptogr. 67 (2013), (1), 93 - 109.
- (F. Nyabadza and S. Mukwembi) Graph theoretic applications to disease models, in F. Nyabadza, M. Kgosimore, E.M. Lungu (Eds.), A Treatise of Biological Models, Nova Science Publishers, New York, 2012, pp. 97 - 126.
- (with J Moori) Some designs and binary codes preserved by the simple group Ru of Rudvalis. J Algebra 372 (2012), 702 - 710.
- (with L Chikamai and J Moori) 2-modular representations of the alternating group A_8 as binary codes, Glas. Mat. Ser. III. 47 (2), (2012) 225 – 252.
- (with D Crnkovic, Sanja Rukavina and L. Simvcic) Ternary codes from the strongly regular (45,12,3,3) graphs and orbit matrices of 2-(45,12,3) designs. Discrete Math. 312 (2012), 3000 - 3010.
- (with P Dankelmann, D Erwin, S Mukwembi, E Mwambene and G Sabidussi) Automorphism group and diameter of a graph. Journal of Graph Theory. 70 (1) (2012), 80 - 91.
- (with D Crnkovic, and V. M. Crnkovic) Some self-orthogonal designs and codes from the linear group L_4(3).Util. Math. 89 (2012), 237-255
- (with J Moori) Some ternary codes invariant under the group McL:2. Ars Combin.104 (2012), 449 - 462
- (with J Bradley, P Dankelmann and D Erwin) On the fixing number of a graph. Util. Math. 86 (2011), 71- 78
- (with J Moori), On some designs and codes invariant under the Higman-Sims group. Util. Math. 86 (2011), 225 - 239
- Some optimal codes from graphs invariant under the alternating group A_8. Adv. Math. Comm. 5, (2011), no. 2, 339 - 350.
- (with F Nyabadza and S Mukwembi) A graph theoretical perspective of a drug abuse model. Physica A, 390 (2011) 1723 - 1732
- (with D Crnkovic, and V. M. Crnkovic) Designs, strongly regular graphs and codes constructed from some primitive groups, in: Information Security, Coding Theory and Related Combinatorics, (D. Crnkovic and V. Tonchev, Eds.), IOS Press, Amsterdam, 2011, 231 - 252.
- (with D Crnkovic and V. M. Crnkovic) Strongly regular graphs and codes from the unitary group U_4(3). Glas. Mat. Ser. III. 45 (2010), no. 2, 307 - 323
- (with J D Key) Codes from lattice and related graphs, and permutation decoding. Discrete Appl. Maths, 158 (2010) 1807- 1815.
- (with J D Key and J Moori), Non-binary codes associated with triangular graphs, and permutation decoding. Int. J. of Information and Coding Theory, 1 (2010) 334 - 349.
- (with J D Key and J Moori) Partial permutation decoding of some binary codes from graphs on triples. Ars Combin 91 (2009) 363 -- 371
- (with F Nyabadza and S Mukwembi) A tuberculosis model: the case of `reasonable' and `unreasonable' infectives. Physica A, 388 (2009) 1995 - 2000.
- (with J D Key and J Moori) Partial permutation decoding of some binary codes from graphs on triples. Ars Combin 91 (2009) 363 - 371
- (with J D Key and J Moori) Ternary codes from graphs on triples. Discrete Math., 309 (2009) 4663 - 4681
- B G Rodrigues. Self-orthogonal designs and codes from the symplectic groups S_4(3) and S_4(4). Discrete Mathematics 308 (2008), 1941 - 1950.
- B G Rodrigues. A note on the binary codes from triangular graphs. Utilitas Mathematica, 76 (2008), 33 - 42.
- B G Rodrigues. On the dual binary codes of the triangular graphs. European Journal of Combinatorics, 28 (2007), 266 - 272.
- B G Rodrigues. On the stabilizers of the minimum-weight codewords of some binary codes from graphs on triples. Quaest. Math, 30 (2007), 21 - 26.
- B G Rodrigues. On the stabilizers of the minimum-weight codewords of the binary codes from triangular graphs. Ars Combinatoria, 82 (2007), 353 - 364.
- (with J Moori ) Some designs and codes invariant under the simple group Co_2. Journal of Algebra, 316 (2007), 649 - 661
- (with J D Key and J Moori) Binary codes from graphs on triples and permutation decoding. Ars Combinatoria, 79 (2006), 11 - 19.
- B G Rodrigues. On some binary codes from orthogonal geometry of characteristic two. Quaest Math, 29 (3), (2006), 1 - 16.
- (with J D Key and J Moori) Some binary codes from symplectic geometry of odd characteristic. Utilitas Mathematica, 67 (2005), 121 - 128.
- (with J Moori ) A self-orthogonal doubly-even code invariant under McL:2. Journal of Combinatorial Theory, Series~A., 110 (2005), 53 - 69.
- (with J D Key and J Moori) Permutation decoding for the binary codes from triangular graphs, European Journal of Combinatorics, 25 (2004), 113 - 123.
- (with J D Key and J Moori) Binary codes from graphs on triples. Discrete Mathematics, 282 (2004), 171 - 182 View
- (With J D Key and J Moori) On some designs and codes from primitive representations of some finite simple groups, J. Combinatorial Mathematics and Combinatorial Computing, 45 (2003), 3 - 19.
- (with J Moori ) On Frattini extensions. Scientiae Mathematicae Japonicae 55 (2) (2002), 215 - 221.
Magma computations for G_2(q) of rank 3
Magma computations for primitive rank 3 designs