Prof B (Bernardo) Rodrigues

Tel: +27 12 420 2874
Fax: +2712 420-3893
E-mail: [email protected]
Position: Professor
Office: Botany 2-10

Academic qualifications: Lic (José Varona, Havana), MSc, PhD (Univ of Natal)

Fields of interests: Finite Group Theory, Algebraic Coding Theory, Combinatorial Design Theory and Algebraic Graph Theory

Research interests: Modular representation theory of finite groups, automorphism groups of designs/codes, permutation decoding

NRF Rating: C1

ORCID: Bernardo Rodrigues (0000-0002-1349-0219) - ORCID

Publications over the past five years

Journal articles

Rodrigues BG and Russo FG, A characterization of procyclic groups via complete exterior degree. Mathematics 12(7) (2024); 1018.

Rodrigues BG, Some two-weight codes invariant under the 3-fold covers of the Mathieu groups M₂₂ and Aut(M₂₂). Journal of Algebra and Its Applications 23(7) (2024), paper No. 2550079, 22 pp.

Rodrigues BG and Russo FG, A note on the exterior centralizers and the probability of commuting pairs. To appear in Publicationes Mathematicae Debrecen 104(3-4) (2024), 443–-455.

Ajmal M, Rehman MU and Rodrigues BG. Improved asymptotically optimal error correcting codes for avoidance crosstalk type-IV on-chip data buses. Computational and Applied Mathematics 42(2023), 24 pp.

Darafsheh MR, Rodrigues BG and Saeidi A. On linear codes constructed from finite groups with a trivial Schur multiplier. Mathematical Communications 28(1)(2023), 85-104

Key JD, Rodrigues BG, Codes from m-ary n-cubes Q_n^m: a survey. AUT J. Math. Com., 4(1)(2023), 1-15

Knapp W, Rodrigues BG, On the binary codes of length 552 which admit the simple group Co₃ as a transitive permutation group. Communications in Algebra 51(4)(2023), 1451-1461

Mbaale X, Rodrigues BG, Zandi S, Designs from maximal subgroups and conjugacy classes of PSL(2,q), q odd. Aut J. Math. Comm. 4(1)(2023), 47-55

Key JD, Rodrigues BG, Minimal PD-sets for codes associated with the graphs Q_2^m, m even. Applicable Algebra in Engineering, Communication and Computing 34(1)(2023), 57-66

Mafuta P, Mukwembi S, Rodrigues BG, A note on connected domination number and leaf number. Discrete Mathematics 346(2)(2023), 5 pp

Le T, Rodrigues BG, On codes from the rank-3 representations of the simple Chevalley group G_2(q). Adv. Math. Comm. 17(1)(2023), 207-226

Rodrigues BG On some projective triply-even binary codes invariant under the Conway group Co1. International Journal of Group Theory. 11(1)(2022) 23-35

Rodrigues BG, Russo FG The exterior degree of finite simple groups. Communications in Algebra 49(6)(2021) 2707-2721

Knapp WD, Rodrigues BG A useful tool for constructing linear codes. J. Algebra 585(2021),422-446

Mbaale X, Rodrigues BG Symmetric 1-designs PGL2,q), for q an odd prime power. Glasnik Matematicki. 56(76)(2021) 1-15

Rodrigues BG, Russo FG Numerical bounds for the exterior degree of finite simple groups. Communications in Algebra 49(6)(2021) 2707-2721

Key JD, Rodrigues BG Binary codes from m-ary n-cubes Q^{m}_{n}. Adv. Math. Comm. 15(3)(2021) 507-524

Crnkovic D, Mostarc N, Rodrigues BG, Storme L 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

Mbaale X, Rodrigues BG Symmetric 1-designs from PSL(2, q), for q an odd prime power. Transactions on Combin. 10(1)(2021) 43-61

Amery G, Gomani S, BG Rodrigues Designs and binary codes from maximal subgroups and conjugacy classes of M_{11}. Math. Commun. 26(2021), 159-175

Madanha SY, Rodrigues BG Finite groups with some restriction on the vanishing set. Communications in Algebra 48(12)(2020) 5474-5481

Crnkovic D, Ronan Egan, Rodrigues BG, Svob A LCD codes from weighing matrices. Appl. Algebra Eng. Commun. Comput. 32(2021) 175-189

Rodrigues BG On the classification of binary self-dual codes admitting imprimitive rank $3$ permutation groups. Appl. Algebra Eng. Commun. Comput. 32(2021) 113—134

Moori J, Rodrigues BG, Sayedi A, Zandi S Designs from maximal subgroups and conjugacy classes of Ree groups. Advances in Mathematics of Communications 14(4)(2020) 603-611

W. Fish, N. B. Mumba, E. Mwambene and B. G. Rodrigues. Binary codes and partial permutation decoding sets from biadjacency matrices of bipartite graphs \Gamma(2k,k,k+1,1). Quaestiones Mathematicae, 43(4) (2020) 523 – 538.

D Leemans and B G Rodrigues, On primitive geometries of rank two. The Art of Discrete and Applied Mathematics 2 (1) (2019), \#P1.08.

P. Dankelmann, S. Mukwembi, F.J. Osaye and B G Rodrigues. Upper Bounds on the Average Eccentricity of K_3-free and C_4-free Graphs. Discrete Applied Maths, 270, (2019), 106 - 114.

W Fish, J D Key, E Mwambene and B G Rodrigues. Hamming graphs and special LCD codes. Journal of Applied Mathematics and Computing, 61 (1-2) (2019) 461– 479.

J Moori, B G Rodrigues, A Sayedi and S Zandi. Some symmetric designs invariant under the small Ree groups. Communications in Algebra, 47(5) (2019), 2131- 2148.

J D Key and B G Rodrigues. Special LCD codes from Peisert and generalized Peisert graphs. Graphs and Combin. 35(3) (2019), 633- 652

D Crnkovic, V. M. Crnkovic and B G Rodrigues. On self-orthogonal designs and codes related with the simple group He of Held. Adv. Math. Comm. 12 (3) (2018), 607-628.

J D Key and B G Rodrigues. LCD codes from adjacency matrices of graphs. Applicable Algebra in Engineering, Communication and Computing. 29 (3)(2018), 227- 244

B G Rodrigues. A projective two-weight code related to the simple group Co_1 of Conway. Graphs and Combin. 34 (3) (2018), 509 – 521

Alice M.W. Hui and B G Rodrigues. Switched graphs of some strongly regular graphs related to the symplectic graph. Des. Codes Cryptogr. 86 (1) (2018), 179 – 194.

D Crnkovic, B G Rodrigues, Sanja Rukavina and Vladimir D Tonchev. Classification of quasi-symmetric 2-(64,24,46) designs of Blokhuis-Haemers type. Discrete Math. 340 (2017) 2472 – 2478

B G Rodrigues, Linear codes with complementary duals related to the complement of the Higman-Sims graph. Bull. Iranian Math. Soc. 43 (7) (2017), 2183 - 2204.

P Mafuta, S Mukwembi, S. Munyira and B G Rodrigues. Lower bounds on the leaf number in graphs with forbidden subgraphs. Quaestiones Mathematicae. 40 (1), (2017), 139 - 149.

W. Fish, N. B. Mumba, E. Mwambene and B. G. Rodrigues. Binary codes and partial permutation decoding sets from biadjacency matrices of bipartite graphs \Gamma(2k+1,m,l,i). Graphs and Combinatorics. 33(2), (2017), 356 – 368.

J Moori and B G Rodrigues, Some self-orthogonal codes related to Higman's geometry. Electronic Journal of Combinatorics 23 (4), (2016), \#P4.15.

D Crnkovic, Marija Maksimovic, B G Rodrigues and S Rukavina. Self-orthogonal codes from strongly regular graphs on up to 40 vertices. Adv. Math. Comm. 10 (3), (2016), 555 - 582.

D Leemans and B G Rodrigues. Linear codes with complementary duals from some strongly regular subgraphs of the McLaughlin graph. Math. Commun. 21 (2) (2016), 239 -249.

J Moori and B G Rodrigues. A note on the affine subgroup of the symplectic group. International Journal of Group Theory, 5 (1), (2016) 37 - 51.

Conference proceedings

B G Rodrigues and T MM Shumba. Some remarks on self-dual codes invariant under almost simple permutation groups. London Mathematical Society Lecture Note Series (Book 455); Groups St Andrews 2017, 469 – 485

B G Rodrigues and V D 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.

Books

F. Nyabadza, S. Mukwembi and B. G. Rodrigues, 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.

D Crnkovic, V. M. Crnkovic and B G Rodrigues, Designs, strongly regular graphs and codes constructed from some primitive groups, NATO Science for Peace and Security Series - D: Information and Communication Security, vol. 29 (2011), pp. 231–-252., IOS Press.

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